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Finding the Third Proportional to 72,311 and 156,688

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Solution

The third proportional to 72,311 and 156,688 is: 339,521.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,311 : 156,688 = 156,688 : x
  2. Step 2: Convert to fraction form
    72,311/156,688 = 156,688/x
  3. Step 3: Cross multiply
    72,311x = 156,688 × 156,688
  4. Step 4: Simplify right side
    72,311x = 24,551,129,344
  5. Step 5: Solve for x
    x = 24,551,129,344/72,311
  6. Step 6: Final answer
    x = 339,521.36

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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.