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Finding the Third Proportional to 71,415 and 104,913

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Solution

The third proportional to 71,415 and 104,913 is: 154,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,415 : 104,913 = 104,913 : x
  2. Step 2: Convert to fraction form
    71,415/104,913 = 104,913/x
  3. Step 3: Cross multiply
    71,415x = 104,913 × 104,913
  4. Step 4: Simplify right side
    71,415x = 11,006,737,569
  5. Step 5: Solve for x
    x = 11,006,737,569/71,415
  6. Step 6: Final answer
    x = 154,123.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.