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Finding the Third Proportional to 91,000 and 200,000

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Solution

The third proportional to 91,000 and 200,000 is: 439,560.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,000 : 200,000 = 200,000 : x
  2. Step 2: Convert to fraction form
    91,000/200,000 = 200,000/x
  3. Step 3: Cross multiply
    91,000x = 200,000 × 200,000
  4. Step 4: Simplify right side
    91,000x = 40,000,000,000
  5. Step 5: Solve for x
    x = 40,000,000,000/91,000
  6. Step 6: Final answer
    x = 439,560.44

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1.5x scale

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.