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Finding the Third Proportional to 587,720 and 872,936

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Solution

The third proportional to 587,720 and 872,936 is: 1,296,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,720 : 872,936 = 872,936 : x
  2. Step 2: Convert to fraction form
    587,720/872,936 = 872,936/x
  3. Step 3: Cross multiply
    587,720x = 872,936 × 872,936
  4. Step 4: Simplify right side
    587,720x = 762,017,260,096
  5. Step 5: Solve for x
    x = 762,017,260,096/587,720
  6. Step 6: Final answer
    x = 1,296,565.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.