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Finding the Third Proportional to 361,515 and 787,398

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Solution

The third proportional to 361,515 and 787,398 is: 1,714,992.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,515 : 787,398 = 787,398 : x
  2. Step 2: Convert to fraction form
    361,515/787,398 = 787,398/x
  3. Step 3: Cross multiply
    361,515x = 787,398 × 787,398
  4. Step 4: Simplify right side
    361,515x = 619,995,610,404
  5. Step 5: Solve for x
    x = 619,995,610,404/361,515
  6. Step 6: Final answer
    x = 1,714,992.77

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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.