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Finding the Third Proportional to 247,272.75 and 428,631.75

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Solution

The third proportional to 247,272.75 and 428,631.75 is: 743,006.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,272.75 : 428,631.75 = 428,631.75 : x
  2. Step 2: Convert to fraction form
    247,272.75/428,631.75 = 428,631.75/x
  3. Step 3: Cross multiply
    247,272.75x = 428,631.75 × 428,631.75
  4. Step 4: Simplify right side
    247,272.75x = 183,725,177,108.06
  5. Step 5: Solve for x
    x = 183,725,177,108.06/247,272.75
  6. Step 6: Final answer
    x = 743,006.16

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.