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Finding the Third Proportional to 400,788.75 and 639,091.13

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Solution

The third proportional to 400,788.75 and 639,091.13 is: 1,019,084.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,788.75 : 639,091.13 = 639,091.13 : x
  2. Step 2: Convert to fraction form
    400,788.75/639,091.13 = 639,091.13/x
  3. Step 3: Cross multiply
    400,788.75x = 639,091.13 × 639,091.13
  4. Step 4: Simplify right side
    400,788.75x = 408,437,466,053.77
  5. Step 5: Solve for x
    x = 408,437,466,053.77/400,788.75
  6. Step 6: Final answer
    x = 1,019,084.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.