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Finding the Third Proportional to 78,534 and 170,451

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Solution

The third proportional to 78,534 and 170,451 is: 369,948.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,534 : 170,451 = 170,451 : x
  2. Step 2: Convert to fraction form
    78,534/170,451 = 170,451/x
  3. Step 3: Cross multiply
    78,534x = 170,451 × 170,451
  4. Step 4: Simplify right side
    78,534x = 29,053,543,401
  5. Step 5: Solve for x
    x = 29,053,543,401/78,534
  6. Step 6: Final answer
    x = 369,948.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.