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Finding the Third Proportional to 721,379.25 and 1,125,744.75

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Solution

The third proportional to 721,379.25 and 1,125,744.75 is: 1,756,775.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,379.25 : 1,125,744.75 = 1,125,744.75 : x
  2. Step 2: Convert to fraction form
    721,379.25/1,125,744.75 = 1,125,744.75/x
  3. Step 3: Cross multiply
    721,379.25x = 1,125,744.75 × 1,125,744.75
  4. Step 4: Simplify right side
    721,379.25x = 1,267,301,242,152.56
  5. Step 5: Solve for x
    x = 1,267,301,242,152.56/721,379.25
  6. Step 6: Final answer
    x = 1,756,775.29

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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.