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Finding the Third Proportional to 78,582 and 169,716

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Solution

The third proportional to 78,582 and 169,716 is: 366,540.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,582 : 169,716 = 169,716 : x
  2. Step 2: Convert to fraction form
    78,582/169,716 = 169,716/x
  3. Step 3: Cross multiply
    78,582x = 169,716 × 169,716
  4. Step 4: Simplify right side
    78,582x = 28,803,520,656
  5. Step 5: Solve for x
    x = 28,803,520,656/78,582
  6. Step 6: Final answer
    x = 366,540.95

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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.