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Finding the Third Proportional to 103,385 and 156,637

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Solution

The third proportional to 103,385 and 156,637 is: 237,318.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,385 : 156,637 = 156,637 : x
  2. Step 2: Convert to fraction form
    103,385/156,637 = 156,637/x
  3. Step 3: Cross multiply
    103,385x = 156,637 × 156,637
  4. Step 4: Simplify right side
    103,385x = 24,535,149,769
  5. Step 5: Solve for x
    x = 24,535,149,769/103,385
  6. Step 6: Final answer
    x = 237,318.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.