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Finding the Third Proportional to 441,290.25 and 661,342.50

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Solution

The third proportional to 441,290.25 and 661,342.50 is: 991,125.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,290.25 : 661,342.50 = 661,342.50 : x
  2. Step 2: Convert to fraction form
    441,290.25/661,342.50 = 661,342.50/x
  3. Step 3: Cross multiply
    441,290.25x = 661,342.50 × 661,342.50
  4. Step 4: Simplify right side
    441,290.25x = 437,373,902,306.25
  5. Step 5: Solve for x
    x = 437,373,902,306.25/441,290.25
  6. Step 6: Final answer
    x = 991,125.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.