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Finding the Third Proportional to 71,430.75 and 156,881.25

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Solution

The third proportional to 71,430.75 and 156,881.25 is: 344,553.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,430.75 : 156,881.25 = 156,881.25 : x
  2. Step 2: Convert to fraction form
    71,430.75/156,881.25 = 156,881.25/x
  3. Step 3: Cross multiply
    71,430.75x = 156,881.25 × 156,881.25
  4. Step 4: Simplify right side
    71,430.75x = 24,611,726,601.56
  5. Step 5: Solve for x
    x = 24,611,726,601.56/71,430.75
  6. Step 6: Final answer
    x = 344,553.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.