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Finding the Third Proportional to 76,713 and 122,118

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Solution

The third proportional to 76,713 and 122,118 is: 194,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,713 : 122,118 = 122,118 : x
  2. Step 2: Convert to fraction form
    76,713/122,118 = 122,118/x
  3. Step 3: Cross multiply
    76,713x = 122,118 × 122,118
  4. Step 4: Simplify right side
    76,713x = 14,912,805,924
  5. Step 5: Solve for x
    x = 14,912,805,924/76,713
  6. Step 6: Final answer
    x = 194,397.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.