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Finding the Third Proportional to 66,051 and 138,663

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Solution

The third proportional to 66,051 and 138,663 is: 291,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,051 : 138,663 = 138,663 : x
  2. Step 2: Convert to fraction form
    66,051/138,663 = 138,663/x
  3. Step 3: Cross multiply
    66,051x = 138,663 × 138,663
  4. Step 4: Simplify right side
    66,051x = 19,227,427,569
  5. Step 5: Solve for x
    x = 19,227,427,569/66,051
  6. Step 6: Final answer
    x = 291,099.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.