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Finding the Third Proportional to 77,920 and 165,548

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Solution

The third proportional to 77,920 and 165,548 is: 351,721.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,920 : 165,548 = 165,548 : x
  2. Step 2: Convert to fraction form
    77,920/165,548 = 165,548/x
  3. Step 3: Cross multiply
    77,920x = 165,548 × 165,548
  4. Step 4: Simplify right side
    77,920x = 27,406,140,304
  5. Step 5: Solve for x
    x = 27,406,140,304/77,920
  6. Step 6: Final answer
    x = 351,721.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.