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Finding the Third Proportional to 77,887 and 169,442

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Solution

The third proportional to 77,887 and 169,442 is: 368,618.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,887 : 169,442 = 169,442 : x
  2. Step 2: Convert to fraction form
    77,887/169,442 = 169,442/x
  3. Step 3: Cross multiply
    77,887x = 169,442 × 169,442
  4. Step 4: Simplify right side
    77,887x = 28,710,591,364
  5. Step 5: Solve for x
    x = 28,710,591,364/77,887
  6. Step 6: Final answer
    x = 368,618.53

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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.