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Finding the Third Proportional to 281,725.50 and 664,381.50

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Solution

The third proportional to 281,725.50 and 664,381.50 is: 1,566,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,725.50 : 664,381.50 = 664,381.50 : x
  2. Step 2: Convert to fraction form
    281,725.50/664,381.50 = 664,381.50/x
  3. Step 3: Cross multiply
    281,725.50x = 664,381.50 × 664,381.50
  4. Step 4: Simplify right side
    281,725.50x = 441,402,777,542.25
  5. Step 5: Solve for x
    x = 441,402,777,542.25/281,725.50
  6. Step 6: Final answer
    x = 1,566,783.19

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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.