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Finding the Third Proportional to 79,938 and 172,342

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Solution

The third proportional to 79,938 and 172,342 is: 371,560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,938 : 172,342 = 172,342 : x
  2. Step 2: Convert to fraction form
    79,938/172,342 = 172,342/x
  3. Step 3: Cross multiply
    79,938x = 172,342 × 172,342
  4. Step 4: Simplify right side
    79,938x = 29,701,764,964
  5. Step 5: Solve for x
    x = 29,701,764,964/79,938
  6. Step 6: Final answer
    x = 371,560.02

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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.