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Finding the Third Proportional to 415,892 and 669,776

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Solution

The third proportional to 415,892 and 669,776 is: 1,078,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,892 : 669,776 = 669,776 : x
  2. Step 2: Convert to fraction form
    415,892/669,776 = 669,776/x
  3. Step 3: Cross multiply
    415,892x = 669,776 × 669,776
  4. Step 4: Simplify right side
    415,892x = 448,599,890,176
  5. Step 5: Solve for x
    x = 448,599,890,176/415,892
  6. Step 6: Final answer
    x = 1,078,645.15

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.