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Finding the Third Proportional to 71,569 and 149,023

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Solution

The third proportional to 71,569 and 149,023 is: 310,299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,569 : 149,023 = 149,023 : x
  2. Step 2: Convert to fraction form
    71,569/149,023 = 149,023/x
  3. Step 3: Cross multiply
    71,569x = 149,023 × 149,023
  4. Step 4: Simplify right side
    71,569x = 22,207,854,529
  5. Step 5: Solve for x
    x = 22,207,854,529/71,569
  6. Step 6: Final answer
    x = 310,299.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.