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Finding the Third Proportional to 138,122.72 and 297,500.34

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Solution

The third proportional to 138,122.72 and 297,500.34 is: 640,781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,122.72 : 297,500.34 = 297,500.34 : x
  2. Step 2: Convert to fraction form
    138,122.72/297,500.34 = 297,500.34/x
  3. Step 3: Cross multiply
    138,122.72x = 297,500.34 × 297,500.34
  4. Step 4: Simplify right side
    138,122.72x = 88,506,454,531.37
  5. Step 5: Solve for x
    x = 88,506,454,531.37/138,122.72
  6. Step 6: Final answer
    x = 640,781.29

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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.