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Finding the Third Proportional to 721,080 and 1,131,110

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Solution

The third proportional to 721,080 and 1,131,110 is: 1,774,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,080 : 1,131,110 = 1,131,110 : x
  2. Step 2: Convert to fraction form
    721,080/1,131,110 = 1,131,110/x
  3. Step 3: Cross multiply
    721,080x = 1,131,110 × 1,131,110
  4. Step 4: Simplify right side
    721,080x = 1,279,409,832,100
  5. Step 5: Solve for x
    x = 1,279,409,832,100/721,080
  6. Step 6: Final answer
    x = 1,774,296.66

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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.