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Finding the Third Proportional to 91,497 and 133,076

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Solution

The third proportional to 91,497 and 133,076 is: 193,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,497 : 133,076 = 133,076 : x
  2. Step 2: Convert to fraction form
    91,497/133,076 = 133,076/x
  3. Step 3: Cross multiply
    91,497x = 133,076 × 133,076
  4. Step 4: Simplify right side
    91,497x = 17,709,221,776
  5. Step 5: Solve for x
    x = 17,709,221,776/91,497
  6. Step 6: Final answer
    x = 193,549.75

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.