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Finding the Third Proportional to 316,255.22 and 502,978.78

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Solution

The third proportional to 316,255.22 and 502,978.78 is: 799,947.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,255.22 : 502,978.78 = 502,978.78 : x
  2. Step 2: Convert to fraction form
    316,255.22/502,978.78 = 502,978.78/x
  3. Step 3: Cross multiply
    316,255.22x = 502,978.78 × 502,978.78
  4. Step 4: Simplify right side
    316,255.22x = 252,987,654,387.74
  5. Step 5: Solve for x
    x = 252,987,654,387.74/316,255.22
  6. Step 6: Final answer
    x = 799,947.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.