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Finding the Third Proportional to 78,800 and 169,312

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Solution

The third proportional to 78,800 and 169,312 is: 363,788.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,800 : 169,312 = 169,312 : x
  2. Step 2: Convert to fraction form
    78,800/169,312 = 169,312/x
  3. Step 3: Cross multiply
    78,800x = 169,312 × 169,312
  4. Step 4: Simplify right side
    78,800x = 28,666,553,344
  5. Step 5: Solve for x
    x = 28,666,553,344/78,800
  6. Step 6: Final answer
    x = 363,788.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.