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Finding the Third Proportional to 44,552 and 71,032

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Solution

The third proportional to 44,552 and 71,032 is: 113,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,552 : 71,032 = 71,032 : x
  2. Step 2: Convert to fraction form
    44,552/71,032 = 71,032/x
  3. Step 3: Cross multiply
    44,552x = 71,032 × 71,032
  4. Step 4: Simplify right side
    44,552x = 5,045,545,024
  5. Step 5: Solve for x
    x = 5,045,545,024/44,552
  6. Step 6: Final answer
    x = 113,250.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.