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Finding the Third Proportional to 425,720.81 and 640,375.88

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Solution

The third proportional to 425,720.81 and 640,375.88 is: 963,263.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,720.81 : 640,375.88 = 640,375.88 : x
  2. Step 2: Convert to fraction form
    425,720.81/640,375.88 = 640,375.88/x
  3. Step 3: Cross multiply
    425,720.81x = 640,375.88 × 640,375.88
  4. Step 4: Simplify right side
    425,720.81x = 410,081,261,282.02
  5. Step 5: Solve for x
    x = 410,081,261,282.02/425,720.81
  6. Step 6: Final answer
    x = 963,263.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.