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Finding the Third Proportional to 38,748 and 82,146.75

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Solution

The third proportional to 38,748 and 82,146.75 is: 174,153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,748 : 82,146.75 = 82,146.75 : x
  2. Step 2: Convert to fraction form
    38,748/82,146.75 = 82,146.75/x
  3. Step 3: Cross multiply
    38,748x = 82,146.75 × 82,146.75
  4. Step 4: Simplify right side
    38,748x = 6,748,088,535.56
  5. Step 5: Solve for x
    x = 6,748,088,535.56/38,748
  6. Step 6: Final answer
    x = 174,153.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.