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Finding the Third Proportional to 72,703 and 156,863

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Solution

The third proportional to 72,703 and 156,863 is: 338,445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,703 : 156,863 = 156,863 : x
  2. Step 2: Convert to fraction form
    72,703/156,863 = 156,863/x
  3. Step 3: Cross multiply
    72,703x = 156,863 × 156,863
  4. Step 4: Simplify right side
    72,703x = 24,606,000,769
  5. Step 5: Solve for x
    x = 24,606,000,769/72,703
  6. Step 6: Final answer
    x = 338,445.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.