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Finding the Third Proportional to 91,436 and 138,129

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Solution

The third proportional to 91,436 and 138,129 is: 208,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,436 : 138,129 = 138,129 : x
  2. Step 2: Convert to fraction form
    91,436/138,129 = 138,129/x
  3. Step 3: Cross multiply
    91,436x = 138,129 × 138,129
  4. Step 4: Simplify right side
    91,436x = 19,079,620,641
  5. Step 5: Solve for x
    x = 19,079,620,641/91,436
  6. Step 6: Final answer
    x = 208,666.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.