Home / 417,078-690,318

Finding the Third Proportional to 417,078 and 690,318

Calculator

Solution

The third proportional to 417,078 and 690,318 is: 1,142,565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,078 : 690,318 = 690,318 : x
  2. Step 2: Convert to fraction form
    417,078/690,318 = 690,318/x
  3. Step 3: Cross multiply
    417,078x = 690,318 × 690,318
  4. Step 4: Simplify right side
    417,078x = 476,538,941,124
  5. Step 5: Solve for x
    x = 476,538,941,124/417,078
  6. Step 6: Final answer
    x = 1,142,565.52

Related Problems

Find third proportional to 208,539 and 345,159
Half scale
Find third proportional to 834,156 and 1,380,636
Double scale
Find third proportional to 417,080 and 690,321
Similar ratio
Find third proportional to 625,617 and 1,035,477
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.