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Finding the Third Proportional to 282,724 and 415,605

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Solution

The third proportional to 282,724 and 415,605 is: 610,940.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,724 : 415,605 = 415,605 : x
  2. Step 2: Convert to fraction form
    282,724/415,605 = 415,605/x
  3. Step 3: Cross multiply
    282,724x = 415,605 × 415,605
  4. Step 4: Simplify right side
    282,724x = 172,727,516,025
  5. Step 5: Solve for x
    x = 172,727,516,025/282,724
  6. Step 6: Final answer
    x = 610,940.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.