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Finding the Third Proportional to 69,952 and 149,877

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Solution

The third proportional to 69,952 and 149,877 is: 321,121.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,952 : 149,877 = 149,877 : x
  2. Step 2: Convert to fraction form
    69,952/149,877 = 149,877/x
  3. Step 3: Cross multiply
    69,952x = 149,877 × 149,877
  4. Step 4: Simplify right side
    69,952x = 22,463,115,129
  5. Step 5: Solve for x
    x = 22,463,115,129/69,952
  6. Step 6: Final answer
    x = 321,121.84

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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.