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Finding the Third Proportional to 438,108.75 and 639,930.38

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Solution

The third proportional to 438,108.75 and 639,930.38 is: 934,724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,108.75 : 639,930.38 = 639,930.38 : x
  2. Step 2: Convert to fraction form
    438,108.75/639,930.38 = 639,930.38/x
  3. Step 3: Cross multiply
    438,108.75x = 639,930.38 × 639,930.38
  4. Step 4: Simplify right side
    438,108.75x = 409,510,884,847.64
  5. Step 5: Solve for x
    x = 409,510,884,847.64/438,108.75
  6. Step 6: Final answer
    x = 934,724.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.