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Finding the Third Proportional to 29,691 and 64,230

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Solution

The third proportional to 29,691 and 64,230 is: 138,947.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,691 : 64,230 = 64,230 : x
  2. Step 2: Convert to fraction form
    29,691/64,230 = 64,230/x
  3. Step 3: Cross multiply
    29,691x = 64,230 × 64,230
  4. Step 4: Simplify right side
    29,691x = 4,125,492,900
  5. Step 5: Solve for x
    x = 4,125,492,900/29,691
  6. Step 6: Final answer
    x = 138,947.59

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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.