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Finding the Third Proportional to 77,713 and 169,478

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Solution

The third proportional to 77,713 and 169,478 is: 369,600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,713 : 169,478 = 169,478 : x
  2. Step 2: Convert to fraction form
    77,713/169,478 = 169,478/x
  3. Step 3: Cross multiply
    77,713x = 169,478 × 169,478
  4. Step 4: Simplify right side
    77,713x = 28,722,792,484
  5. Step 5: Solve for x
    x = 28,722,792,484/77,713
  6. Step 6: Final answer
    x = 369,600.87

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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.