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Finding the Third Proportional to 457,001.16 and 990,273.66

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Solution

The third proportional to 457,001.16 and 990,273.66 is: 2,145,819.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,001.16 : 990,273.66 = 990,273.66 : x
  2. Step 2: Convert to fraction form
    457,001.16/990,273.66 = 990,273.66/x
  3. Step 3: Cross multiply
    457,001.16x = 990,273.66 × 990,273.66
  4. Step 4: Simplify right side
    457,001.16x = 980,641,914,262.74
  5. Step 5: Solve for x
    x = 980,641,914,262.74/457,001.16
  6. Step 6: Final answer
    x = 2,145,819.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.