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Finding the Third Proportional to 77,151 and 163,782

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Solution

The third proportional to 77,151 and 163,782 is: 347,688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,151 : 163,782 = 163,782 : x
  2. Step 2: Convert to fraction form
    77,151/163,782 = 163,782/x
  3. Step 3: Cross multiply
    77,151x = 163,782 × 163,782
  4. Step 4: Simplify right side
    77,151x = 26,824,543,524
  5. Step 5: Solve for x
    x = 26,824,543,524/77,151
  6. Step 6: Final answer
    x = 347,688.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.