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Finding the Third Proportional to 401,947.88 and 639,821.81

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Solution

The third proportional to 401,947.88 and 639,821.81 is: 1,018,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,947.88 : 639,821.81 = 639,821.81 : x
  2. Step 2: Convert to fraction form
    401,947.88/639,821.81 = 639,821.81/x
  3. Step 3: Cross multiply
    401,947.88x = 639,821.81 × 639,821.81
  4. Step 4: Simplify right side
    401,947.88x = 409,371,951,750.79
  5. Step 5: Solve for x
    x = 409,371,951,750.79/401,947.88
  6. Step 6: Final answer
    x = 1,018,470.25

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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.