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Finding the Third Proportional to 71,125.50 and 155,373

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Solution

The third proportional to 71,125.50 and 155,373 is: 339,410.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,125.50 : 155,373 = 155,373 : x
  2. Step 2: Convert to fraction form
    71,125.50/155,373 = 155,373/x
  3. Step 3: Cross multiply
    71,125.50x = 155,373 × 155,373
  4. Step 4: Simplify right side
    71,125.50x = 24,140,769,129
  5. Step 5: Solve for x
    x = 24,140,769,129/71,125.50
  6. Step 6: Final answer
    x = 339,410.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.