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Finding the Third Proportional to 78,548 and 170,920

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Solution

The third proportional to 78,548 and 170,920 is: 371,920.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,548 : 170,920 = 170,920 : x
  2. Step 2: Convert to fraction form
    78,548/170,920 = 170,920/x
  3. Step 3: Cross multiply
    78,548x = 170,920 × 170,920
  4. Step 4: Simplify right side
    78,548x = 29,213,646,400
  5. Step 5: Solve for x
    x = 29,213,646,400/78,548
  6. Step 6: Final answer
    x = 371,920.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.