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Finding the Third Proportional to 102,129 and 149,759

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Solution

The third proportional to 102,129 and 149,759 is: 219,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,129 : 149,759 = 149,759 : x
  2. Step 2: Convert to fraction form
    102,129/149,759 = 149,759/x
  3. Step 3: Cross multiply
    102,129x = 149,759 × 149,759
  4. Step 4: Simplify right side
    102,129x = 22,427,758,081
  5. Step 5: Solve for x
    x = 22,427,758,081/102,129
  6. Step 6: Final answer
    x = 219,602.25

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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.