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Finding the Third Proportional to 425,506.50 and 647,102.25

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Solution

The third proportional to 425,506.50 and 647,102.25 is: 984,100.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,506.50 : 647,102.25 = 647,102.25 : x
  2. Step 2: Convert to fraction form
    425,506.50/647,102.25 = 647,102.25/x
  3. Step 3: Cross multiply
    425,506.50x = 647,102.25 × 647,102.25
  4. Step 4: Simplify right side
    425,506.50x = 418,741,321,955.06
  5. Step 5: Solve for x
    x = 418,741,321,955.06/425,506.50
  6. Step 6: Final answer
    x = 984,100.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.