Home / 509,394-689,355

Finding the Third Proportional to 509,394 and 689,355

Calculator

Solution

The third proportional to 509,394 and 689,355 is: 932,893.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,394 : 689,355 = 689,355 : x
  2. Step 2: Convert to fraction form
    509,394/689,355 = 689,355/x
  3. Step 3: Cross multiply
    509,394x = 689,355 × 689,355
  4. Step 4: Simplify right side
    509,394x = 475,210,316,025
  5. Step 5: Solve for x
    x = 475,210,316,025/509,394
  6. Step 6: Final answer
    x = 932,893.43

Related Problems

Find third proportional to 254,697 and 344,677.50
Half scale
Find third proportional to 1,018,788 and 1,378,710
Double scale
Find third proportional to 509,396 and 689,358
Similar ratio
Find third proportional to 764,091 and 1,034,032.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.