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Finding the Third Proportional to 77,972 and 169,118

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Solution

The third proportional to 77,972 and 169,118 is: 366,809.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,972 : 169,118 = 169,118 : x
  2. Step 2: Convert to fraction form
    77,972/169,118 = 169,118/x
  3. Step 3: Cross multiply
    77,972x = 169,118 × 169,118
  4. Step 4: Simplify right side
    77,972x = 28,600,897,924
  5. Step 5: Solve for x
    x = 28,600,897,924/77,972
  6. Step 6: Final answer
    x = 366,809.85

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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.