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Finding the Third Proportional to 378,340.32 and 630,567.20

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Solution

The third proportional to 378,340.32 and 630,567.20 is: 1,050,945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,340.32 : 630,567.20 = 630,567.20 : x
  2. Step 2: Convert to fraction form
    378,340.32/630,567.20 = 630,567.20/x
  3. Step 3: Cross multiply
    378,340.32x = 630,567.20 × 630,567.20
  4. Step 4: Simplify right side
    378,340.32x = 397,614,996,425.30
  5. Step 5: Solve for x
    x = 397,614,996,425.30/378,340.32
  6. Step 6: Final answer
    x = 1,050,945.34

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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.