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Finding the Third Proportional to 288,531 and 630,162

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Solution

The third proportional to 288,531 and 630,162 is: 1,376,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,531 : 630,162 = 630,162 : x
  2. Step 2: Convert to fraction form
    288,531/630,162 = 630,162/x
  3. Step 3: Cross multiply
    288,531x = 630,162 × 630,162
  4. Step 4: Simplify right side
    288,531x = 397,104,146,244
  5. Step 5: Solve for x
    x = 397,104,146,244/288,531
  6. Step 6: Final answer
    x = 1,376,296.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.