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Finding the Third Proportional to 319,677 and 477,327

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Solution

The third proportional to 319,677 and 477,327 is: 712,722.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,677 : 477,327 = 477,327 : x
  2. Step 2: Convert to fraction form
    319,677/477,327 = 477,327/x
  3. Step 3: Cross multiply
    319,677x = 477,327 × 477,327
  4. Step 4: Simplify right side
    319,677x = 227,841,064,929
  5. Step 5: Solve for x
    x = 227,841,064,929/319,677
  6. Step 6: Final answer
    x = 712,722.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.