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Finding the Third Proportional to 290,387 and 435,581

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Solution

The third proportional to 290,387 and 435,581 is: 653,372.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,387 : 435,581 = 435,581 : x
  2. Step 2: Convert to fraction form
    290,387/435,581 = 435,581/x
  3. Step 3: Cross multiply
    290,387x = 435,581 × 435,581
  4. Step 4: Simplify right side
    290,387x = 189,730,807,561
  5. Step 5: Solve for x
    x = 189,730,807,561/290,387
  6. Step 6: Final answer
    x = 653,372.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.