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Finding the Third Proportional to 687,027 and 1,465,368

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Solution

The third proportional to 687,027 and 1,465,368 is: 3,125,500.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,027 : 1,465,368 = 1,465,368 : x
  2. Step 2: Convert to fraction form
    687,027/1,465,368 = 1,465,368/x
  3. Step 3: Cross multiply
    687,027x = 1,465,368 × 1,465,368
  4. Step 4: Simplify right side
    687,027x = 2,147,303,375,424
  5. Step 5: Solve for x
    x = 2,147,303,375,424/687,027
  6. Step 6: Final answer
    x = 3,125,500.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.