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Finding the Third Proportional to 378,426.75 and 630,686.63

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Solution

The third proportional to 378,426.75 and 630,686.63 is: 1,051,103.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,426.75 : 630,686.63 = 630,686.63 : x
  2. Step 2: Convert to fraction form
    378,426.75/630,686.63 = 630,686.63/x
  3. Step 3: Cross multiply
    378,426.75x = 630,686.63 × 630,686.63
  4. Step 4: Simplify right side
    378,426.75x = 397,765,618,953.89
  5. Step 5: Solve for x
    x = 397,765,618,953.89/378,426.75
  6. Step 6: Final answer
    x = 1,051,103.33

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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.