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Finding the Third Proportional to 625,872 and 1,340,311

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Solution

The third proportional to 625,872 and 1,340,311 is: 2,870,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,872 : 1,340,311 = 1,340,311 : x
  2. Step 2: Convert to fraction form
    625,872/1,340,311 = 1,340,311/x
  3. Step 3: Cross multiply
    625,872x = 1,340,311 × 1,340,311
  4. Step 4: Simplify right side
    625,872x = 1,796,433,576,721
  5. Step 5: Solve for x
    x = 1,796,433,576,721/625,872
  6. Step 6: Final answer
    x = 2,870,289.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.