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Finding the Third Proportional to 457,055.25 and 990,379.50

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Solution

The third proportional to 457,055.25 and 990,379.50 is: 2,146,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,055.25 : 990,379.50 = 990,379.50 : x
  2. Step 2: Convert to fraction form
    457,055.25/990,379.50 = 990,379.50/x
  3. Step 3: Cross multiply
    457,055.25x = 990,379.50 × 990,379.50
  4. Step 4: Simplify right side
    457,055.25x = 980,851,554,020.25
  5. Step 5: Solve for x
    x = 980,851,554,020.25/457,055.25
  6. Step 6: Final answer
    x = 2,146,024.04

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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.