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Finding the Third Proportional to 77,897 and 169,463

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Solution

The third proportional to 77,897 and 169,463 is: 368,662.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,897 : 169,463 = 169,463 : x
  2. Step 2: Convert to fraction form
    77,897/169,463 = 169,463/x
  3. Step 3: Cross multiply
    77,897x = 169,463 × 169,463
  4. Step 4: Simplify right side
    77,897x = 28,717,708,369
  5. Step 5: Solve for x
    x = 28,717,708,369/77,897
  6. Step 6: Final answer
    x = 368,662.57

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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.