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Finding the Third Proportional to 77,876 and 169,423

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Solution

The third proportional to 77,876 and 169,423 is: 368,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,876 : 169,423 = 169,423 : x
  2. Step 2: Convert to fraction form
    77,876/169,423 = 169,423/x
  3. Step 3: Cross multiply
    77,876x = 169,423 × 169,423
  4. Step 4: Simplify right side
    77,876x = 28,704,152,929
  5. Step 5: Solve for x
    x = 28,704,152,929/77,876
  6. Step 6: Final answer
    x = 368,587.92

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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.