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Finding the Third Proportional to 77,910 and 169,932

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Solution

The third proportional to 77,910 and 169,932 is: 370,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,910 : 169,932 = 169,932 : x
  2. Step 2: Convert to fraction form
    77,910/169,932 = 169,932/x
  3. Step 3: Cross multiply
    77,910x = 169,932 × 169,932
  4. Step 4: Simplify right side
    77,910x = 28,876,884,624
  5. Step 5: Solve for x
    x = 28,876,884,624/77,910
  6. Step 6: Final answer
    x = 370,644.14

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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.