Home / 417,009-690,214.50

Finding the Third Proportional to 417,009 and 690,214.50

Calculator

Solution

The third proportional to 417,009 and 690,214.50 is: 1,142,411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,009 : 690,214.50 = 690,214.50 : x
  2. Step 2: Convert to fraction form
    417,009/690,214.50 = 690,214.50/x
  3. Step 3: Cross multiply
    417,009x = 690,214.50 × 690,214.50
  4. Step 4: Simplify right side
    417,009x = 476,396,056,010.25
  5. Step 5: Solve for x
    x = 476,396,056,010.25/417,009
  6. Step 6: Final answer
    x = 1,142,411.93

Related Problems

Find third proportional to 208,504.50 and 345,107.25
Half scale
Find third proportional to 834,018 and 1,380,429
Double scale
Find third proportional to 417,011 and 690,218
Similar ratio
Find third proportional to 625,513.50 and 1,035,321.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.