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Finding the Third Proportional to 281,722.50 and 664,372.50

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Solution

The third proportional to 281,722.50 and 664,372.50 is: 1,566,757.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,722.50 : 664,372.50 = 664,372.50 : x
  2. Step 2: Convert to fraction form
    281,722.50/664,372.50 = 664,372.50/x
  3. Step 3: Cross multiply
    281,722.50x = 664,372.50 × 664,372.50
  4. Step 4: Simplify right side
    281,722.50x = 441,390,818,756.25
  5. Step 5: Solve for x
    x = 441,390,818,756.25/281,722.50
  6. Step 6: Final answer
    x = 1,566,757.43

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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.