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Finding the Third Proportional to 37,750 and 77,140

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Solution

The third proportional to 37,750 and 77,140 is: 157,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,750 : 77,140 = 77,140 : x
  2. Step 2: Convert to fraction form
    37,750/77,140 = 77,140/x
  3. Step 3: Cross multiply
    37,750x = 77,140 × 77,140
  4. Step 4: Simplify right side
    37,750x = 5,950,579,600
  5. Step 5: Solve for x
    x = 5,950,579,600/37,750
  6. Step 6: Final answer
    x = 157,631.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.