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Finding the Third Proportional to 721,296 and 1,122,764

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Solution

The third proportional to 721,296 and 1,122,764 is: 1,747,686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,296 : 1,122,764 = 1,122,764 : x
  2. Step 2: Convert to fraction form
    721,296/1,122,764 = 1,122,764/x
  3. Step 3: Cross multiply
    721,296x = 1,122,764 × 1,122,764
  4. Step 4: Simplify right side
    721,296x = 1,260,598,999,696
  5. Step 5: Solve for x
    x = 1,260,598,999,696/721,296
  6. Step 6: Final answer
    x = 1,747,686.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.