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Finding the Third Proportional to 378,424.13 and 630,682.88

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Solution

The third proportional to 378,424.13 and 630,682.88 is: 1,051,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,424.13 : 630,682.88 = 630,682.88 : x
  2. Step 2: Convert to fraction form
    378,424.13/630,682.88 = 630,682.88/x
  3. Step 3: Cross multiply
    378,424.13x = 630,682.88 × 630,682.88
  4. Step 4: Simplify right side
    378,424.13x = 397,760,888,818.27
  5. Step 5: Solve for x
    x = 397,760,888,818.27/378,424.13
  6. Step 6: Final answer
    x = 1,051,098.13

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.