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Finding the Third Proportional to 91,248 and 133,721

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Solution

The third proportional to 91,248 and 133,721 is: 195,963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,248 : 133,721 = 133,721 : x
  2. Step 2: Convert to fraction form
    91,248/133,721 = 133,721/x
  3. Step 3: Cross multiply
    91,248x = 133,721 × 133,721
  4. Step 4: Simplify right side
    91,248x = 17,881,305,841
  5. Step 5: Solve for x
    x = 17,881,305,841/91,248
  6. Step 6: Final answer
    x = 195,963.81

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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.