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Finding the Third Proportional to 460,800 and 721,296

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Solution

The third proportional to 460,800 and 721,296 is: 1,129,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,800 : 721,296 = 721,296 : x
  2. Step 2: Convert to fraction form
    460,800/721,296 = 721,296/x
  3. Step 3: Cross multiply
    460,800x = 721,296 × 721,296
  4. Step 4: Simplify right side
    460,800x = 520,267,919,616
  5. Step 5: Solve for x
    x = 520,267,919,616/460,800
  6. Step 6: Final answer
    x = 1,129,053.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.