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Finding the Third Proportional to 138,640.50 and 301,029.75

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Solution

The third proportional to 138,640.50 and 301,029.75 is: 653,625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,640.50 : 301,029.75 = 301,029.75 : x
  2. Step 2: Convert to fraction form
    138,640.50/301,029.75 = 301,029.75/x
  3. Step 3: Cross multiply
    138,640.50x = 301,029.75 × 301,029.75
  4. Step 4: Simplify right side
    138,640.50x = 90,618,910,385.06
  5. Step 5: Solve for x
    x = 90,618,910,385.06/138,640.50
  6. Step 6: Final answer
    x = 653,625.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.