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Finding the Third Proportional to 721,544 and 1,608,720

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Solution

The third proportional to 721,544 and 1,608,720 is: 3,586,725.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,544 : 1,608,720 = 1,608,720 : x
  2. Step 2: Convert to fraction form
    721,544/1,608,720 = 1,608,720/x
  3. Step 3: Cross multiply
    721,544x = 1,608,720 × 1,608,720
  4. Step 4: Simplify right side
    721,544x = 2,587,980,038,400
  5. Step 5: Solve for x
    x = 2,587,980,038,400/721,544
  6. Step 6: Final answer
    x = 3,586,725.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.