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Finding the Third Proportional to 286,872 and 630,366

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Solution

The third proportional to 286,872 and 630,366 is: 1,385,151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,872 : 630,366 = 630,366 : x
  2. Step 2: Convert to fraction form
    286,872/630,366 = 630,366/x
  3. Step 3: Cross multiply
    286,872x = 630,366 × 630,366
  4. Step 4: Simplify right side
    286,872x = 397,361,293,956
  5. Step 5: Solve for x
    x = 397,361,293,956/286,872
  6. Step 6: Final answer
    x = 1,385,151.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.