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Finding the Third Proportional to 37,853 and 78,135

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Solution

The third proportional to 37,853 and 78,135 is: 161,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,853 : 78,135 = 78,135 : x
  2. Step 2: Convert to fraction form
    37,853/78,135 = 78,135/x
  3. Step 3: Cross multiply
    37,853x = 78,135 × 78,135
  4. Step 4: Simplify right side
    37,853x = 6,105,078,225
  5. Step 5: Solve for x
    x = 6,105,078,225/37,853
  6. Step 6: Final answer
    x = 161,283.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.