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Finding the Third Proportional to 34,508 and 74,659

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Solution

The third proportional to 34,508 and 74,659 is: 161,526.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,508 : 74,659 = 74,659 : x
  2. Step 2: Convert to fraction form
    34,508/74,659 = 74,659/x
  3. Step 3: Cross multiply
    34,508x = 74,659 × 74,659
  4. Step 4: Simplify right side
    34,508x = 5,573,966,281
  5. Step 5: Solve for x
    x = 5,573,966,281/34,508
  6. Step 6: Final answer
    x = 161,526.78

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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.