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Finding the Third Proportional to 361,540 and 787,420

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Solution

The third proportional to 361,540 and 787,420 is: 1,714,970.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,540 : 787,420 = 787,420 : x
  2. Step 2: Convert to fraction form
    361,540/787,420 = 787,420/x
  3. Step 3: Cross multiply
    361,540x = 787,420 × 787,420
  4. Step 4: Simplify right side
    361,540x = 620,030,256,400
  5. Step 5: Solve for x
    x = 620,030,256,400/361,540
  6. Step 6: Final answer
    x = 1,714,970.01

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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.