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Finding the Third Proportional to 38,218.50 and 78,138

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Solution

The third proportional to 38,218.50 and 78,138 is: 159,753.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,218.50 : 78,138 = 78,138 : x
  2. Step 2: Convert to fraction form
    38,218.50/78,138 = 78,138/x
  3. Step 3: Cross multiply
    38,218.50x = 78,138 × 78,138
  4. Step 4: Simplify right side
    38,218.50x = 6,105,547,044
  5. Step 5: Solve for x
    x = 6,105,547,044/38,218.50
  6. Step 6: Final answer
    x = 159,753.71

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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.