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Finding the Third Proportional to 330,820 and 717,651

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Solution

The third proportional to 330,820 and 717,651 is: 1,556,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,820 : 717,651 = 717,651 : x
  2. Step 2: Convert to fraction form
    330,820/717,651 = 717,651/x
  3. Step 3: Cross multiply
    330,820x = 717,651 × 717,651
  4. Step 4: Simplify right side
    330,820x = 515,022,957,801
  5. Step 5: Solve for x
    x = 515,022,957,801/330,820
  6. Step 6: Final answer
    x = 1,556,807.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.