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Finding the Third Proportional to 60,827 and 133,496

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Solution

The third proportional to 60,827 and 133,496 is: 292,981.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,827 : 133,496 = 133,496 : x
  2. Step 2: Convert to fraction form
    60,827/133,496 = 133,496/x
  3. Step 3: Cross multiply
    60,827x = 133,496 × 133,496
  4. Step 4: Simplify right side
    60,827x = 17,821,182,016
  5. Step 5: Solve for x
    x = 17,821,182,016/60,827
  6. Step 6: Final answer
    x = 292,981.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.