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Finding the Third Proportional to 78,624 and 122,606

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Solution

The third proportional to 78,624 and 122,606 is: 191,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,624 : 122,606 = 122,606 : x
  2. Step 2: Convert to fraction form
    78,624/122,606 = 122,606/x
  3. Step 3: Cross multiply
    78,624x = 122,606 × 122,606
  4. Step 4: Simplify right side
    78,624x = 15,032,231,236
  5. Step 5: Solve for x
    x = 15,032,231,236/78,624
  6. Step 6: Final answer
    x = 191,191.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.