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Finding the Third Proportional to 281,012.41 and 428,515.31

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Solution

The third proportional to 281,012.41 and 428,515.31 is: 653,442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,012.41 : 428,515.31 = 428,515.31 : x
  2. Step 2: Convert to fraction form
    281,012.41/428,515.31 = 428,515.31/x
  3. Step 3: Cross multiply
    281,012.41x = 428,515.31 × 428,515.31
  4. Step 4: Simplify right side
    281,012.41x = 183,625,373,046.97
  5. Step 5: Solve for x
    x = 183,625,373,046.97/281,012.41
  6. Step 6: Final answer
    x = 653,442.21

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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.