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Finding the Third Proportional to 61,643 and 132,025

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Solution

The third proportional to 61,643 and 132,025 is: 282,766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,643 : 132,025 = 132,025 : x
  2. Step 2: Convert to fraction form
    61,643/132,025 = 132,025/x
  3. Step 3: Cross multiply
    61,643x = 132,025 × 132,025
  4. Step 4: Simplify right side
    61,643x = 17,430,600,625
  5. Step 5: Solve for x
    x = 17,430,600,625/61,643
  6. Step 6: Final answer
    x = 282,766.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.