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Finding the Third Proportional to 69,711 and 148,413

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Solution

The third proportional to 69,711 and 148,413 is: 315,967.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,711 : 148,413 = 148,413 : x
  2. Step 2: Convert to fraction form
    69,711/148,413 = 148,413/x
  3. Step 3: Cross multiply
    69,711x = 148,413 × 148,413
  4. Step 4: Simplify right side
    69,711x = 22,026,418,569
  5. Step 5: Solve for x
    x = 22,026,418,569/69,711
  6. Step 6: Final answer
    x = 315,967.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.