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Finding the Third Proportional to 281,750 and 664,425

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Solution

The third proportional to 281,750 and 664,425 is: 1,566,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,750 : 664,425 = 664,425 : x
  2. Step 2: Convert to fraction form
    281,750/664,425 = 664,425/x
  3. Step 3: Cross multiply
    281,750x = 664,425 × 664,425
  4. Step 4: Simplify right side
    281,750x = 441,460,580,625
  5. Step 5: Solve for x
    x = 441,460,580,625/281,750
  6. Step 6: Final answer
    x = 1,566,852.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.