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Finding the Third Proportional to 415,992 and 669,924

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Solution

The third proportional to 415,992 and 669,924 is: 1,078,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,992 : 669,924 = 669,924 : x
  2. Step 2: Convert to fraction form
    415,992/669,924 = 669,924/x
  3. Step 3: Cross multiply
    415,992x = 669,924 × 669,924
  4. Step 4: Simplify right side
    415,992x = 448,798,165,776
  5. Step 5: Solve for x
    x = 448,798,165,776/415,992
  6. Step 6: Final answer
    x = 1,078,862.49

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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.