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Finding the Third Proportional to 61,680 and 132,963

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Solution

The third proportional to 61,680 and 132,963 is: 286,627.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,680 : 132,963 = 132,963 : x
  2. Step 2: Convert to fraction form
    61,680/132,963 = 132,963/x
  3. Step 3: Cross multiply
    61,680x = 132,963 × 132,963
  4. Step 4: Simplify right side
    61,680x = 17,679,159,369
  5. Step 5: Solve for x
    x = 17,679,159,369/61,680
  6. Step 6: Final answer
    x = 286,627.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.