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Finding the Third Proportional to 61,643 and 132,781

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Solution

The third proportional to 61,643 and 132,781 is: 286,014.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,643 : 132,781 = 132,781 : x
  2. Step 2: Convert to fraction form
    61,643/132,781 = 132,781/x
  3. Step 3: Cross multiply
    61,643x = 132,781 × 132,781
  4. Step 4: Simplify right side
    61,643x = 17,630,793,961
  5. Step 5: Solve for x
    x = 17,630,793,961/61,643
  6. Step 6: Final answer
    x = 286,014.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.