Home / 287,419-435,106

Finding the Third Proportional to 287,419 and 435,106

Calculator

Solution

The third proportional to 287,419 and 435,106 is: 658,680.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,419 : 435,106 = 435,106 : x
  2. Step 2: Convert to fraction form
    287,419/435,106 = 435,106/x
  3. Step 3: Cross multiply
    287,419x = 435,106 × 435,106
  4. Step 4: Simplify right side
    287,419x = 189,317,231,236
  5. Step 5: Solve for x
    x = 189,317,231,236/287,419
  6. Step 6: Final answer
    x = 658,680.29

Related Problems

Find third proportional to 143,709.50 and 217,553
Half scale
Find third proportional to 574,838 and 870,212
Double scale
Find third proportional to 287,421 and 435,109
Similar ratio
Find third proportional to 431,128.50 and 652,659
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.