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Finding the Third Proportional to 361,512 and 787,392

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Solution

The third proportional to 361,512 and 787,392 is: 1,714,980.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,512 : 787,392 = 787,392 : x
  2. Step 2: Convert to fraction form
    361,512/787,392 = 787,392/x
  3. Step 3: Cross multiply
    361,512x = 787,392 × 787,392
  4. Step 4: Simplify right side
    361,512x = 619,986,161,664
  5. Step 5: Solve for x
    x = 619,986,161,664/361,512
  6. Step 6: Final answer
    x = 1,714,980.86

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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.