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Finding the Third Proportional to 52,221 and 78,102

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Solution

The third proportional to 52,221 and 78,102 is: 116,809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,221 : 78,102 = 78,102 : x
  2. Step 2: Convert to fraction form
    52,221/78,102 = 78,102/x
  3. Step 3: Cross multiply
    52,221x = 78,102 × 78,102
  4. Step 4: Simplify right side
    52,221x = 6,099,922,404
  5. Step 5: Solve for x
    x = 6,099,922,404/52,221
  6. Step 6: Final answer
    x = 116,809.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.