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Finding the Third Proportional to 367,440 and 787,366

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Solution

The third proportional to 367,440 and 787,366 is: 1,687,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,440 : 787,366 = 787,366 : x
  2. Step 2: Convert to fraction form
    367,440/787,366 = 787,366/x
  3. Step 3: Cross multiply
    367,440x = 787,366 × 787,366
  4. Step 4: Simplify right side
    367,440x = 619,945,217,956
  5. Step 5: Solve for x
    x = 619,945,217,956/367,440
  6. Step 6: Final answer
    x = 1,687,201.22

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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.