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Finding the Third Proportional to 100,280 and 202,200

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Solution

The third proportional to 100,280 and 202,200 is: 407,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,280 : 202,200 = 202,200 : x
  2. Step 2: Convert to fraction form
    100,280/202,200 = 202,200/x
  3. Step 3: Cross multiply
    100,280x = 202,200 × 202,200
  4. Step 4: Simplify right side
    100,280x = 40,884,840,000
  5. Step 5: Solve for x
    x = 40,884,840,000/100,280
  6. Step 6: Final answer
    x = 407,706.82

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.