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Finding the Third Proportional to 722,478 and 1,587,965

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Solution

The third proportional to 722,478 and 1,587,965 is: 3,490,255.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,478 : 1,587,965 = 1,587,965 : x
  2. Step 2: Convert to fraction form
    722,478/1,587,965 = 1,587,965/x
  3. Step 3: Cross multiply
    722,478x = 1,587,965 × 1,587,965
  4. Step 4: Simplify right side
    722,478x = 2,521,632,841,225
  5. Step 5: Solve for x
    x = 2,521,632,841,225/722,478
  6. Step 6: Final answer
    x = 3,490,255.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.