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Finding the Third Proportional to 138,549.75 and 297,819

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Solution

The third proportional to 138,549.75 and 297,819 is: 640,175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,549.75 : 297,819 = 297,819 : x
  2. Step 2: Convert to fraction form
    138,549.75/297,819 = 297,819/x
  3. Step 3: Cross multiply
    138,549.75x = 297,819 × 297,819
  4. Step 4: Simplify right side
    138,549.75x = 88,696,156,761
  5. Step 5: Solve for x
    x = 88,696,156,761/138,549.75
  6. Step 6: Final answer
    x = 640,175.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.