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Finding the Third Proportional to 457,042.50 and 990,353.25

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Solution

The third proportional to 457,042.50 and 990,353.25 is: 2,145,970.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,042.50 : 990,353.25 = 990,353.25 : x
  2. Step 2: Convert to fraction form
    457,042.50/990,353.25 = 990,353.25/x
  3. Step 3: Cross multiply
    457,042.50x = 990,353.25 × 990,353.25
  4. Step 4: Simplify right side
    457,042.50x = 980,799,559,785.56
  5. Step 5: Solve for x
    x = 980,799,559,785.56/457,042.50
  6. Step 6: Final answer
    x = 2,145,970.14

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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.