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Finding the Third Proportional to 69,462 and 148,972

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Solution

The third proportional to 69,462 and 148,972 is: 319,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,462 : 148,972 = 148,972 : x
  2. Step 2: Convert to fraction form
    69,462/148,972 = 148,972/x
  3. Step 3: Cross multiply
    69,462x = 148,972 × 148,972
  4. Step 4: Simplify right side
    69,462x = 22,192,656,784
  5. Step 5: Solve for x
    x = 22,192,656,784/69,462
  6. Step 6: Final answer
    x = 319,493.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.