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Finding the Third Proportional to 408,057.75 and 630,843.19

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Solution

The third proportional to 408,057.75 and 630,843.19 is: 975,261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,057.75 : 630,843.19 = 630,843.19 : x
  2. Step 2: Convert to fraction form
    408,057.75/630,843.19 = 630,843.19/x
  3. Step 3: Cross multiply
    408,057.75x = 630,843.19 × 630,843.19
  4. Step 4: Simplify right side
    408,057.75x = 397,963,127,215.16
  5. Step 5: Solve for x
    x = 397,963,127,215.16/408,057.75
  6. Step 6: Final answer
    x = 975,261.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.