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Finding the Third Proportional to 77,960 and 169,042

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Solution

The third proportional to 77,960 and 169,042 is: 366,536.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,960 : 169,042 = 169,042 : x
  2. Step 2: Convert to fraction form
    77,960/169,042 = 169,042/x
  3. Step 3: Cross multiply
    77,960x = 169,042 × 169,042
  4. Step 4: Simplify right side
    77,960x = 28,575,197,764
  5. Step 5: Solve for x
    x = 28,575,197,764/77,960
  6. Step 6: Final answer
    x = 366,536.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.