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Finding the Third Proportional to 72,285 and 156,637

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Solution

The third proportional to 72,285 and 156,637 is: 339,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,285 : 156,637 = 156,637 : x
  2. Step 2: Convert to fraction form
    72,285/156,637 = 156,637/x
  3. Step 3: Cross multiply
    72,285x = 156,637 × 156,637
  4. Step 4: Simplify right side
    72,285x = 24,535,149,769
  5. Step 5: Solve for x
    x = 24,535,149,769/72,285
  6. Step 6: Final answer
    x = 339,422.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.