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Finding the Third Proportional to 121,756.50 and 266,425

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Solution

The third proportional to 121,756.50 and 266,425 is: 582,985.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,756.50 : 266,425 = 266,425 : x
  2. Step 2: Convert to fraction form
    121,756.50/266,425 = 266,425/x
  3. Step 3: Cross multiply
    121,756.50x = 266,425 × 266,425
  4. Step 4: Simplify right side
    121,756.50x = 70,982,280,625
  5. Step 5: Solve for x
    x = 70,982,280,625/121,756.50
  6. Step 6: Final answer
    x = 582,985.55

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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.