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Finding the Third Proportional to 91,720 and 200,720

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Solution

The third proportional to 91,720 and 200,720 is: 439,255.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,720 : 200,720 = 200,720 : x
  2. Step 2: Convert to fraction form
    91,720/200,720 = 200,720/x
  3. Step 3: Cross multiply
    91,720x = 200,720 × 200,720
  4. Step 4: Simplify right side
    91,720x = 40,288,518,400
  5. Step 5: Solve for x
    x = 40,288,518,400/91,720
  6. Step 6: Final answer
    x = 439,255.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.