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Finding the Third Proportional to 71,253 and 100,202.25

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Solution

The third proportional to 71,253 and 100,202.25 is: 140,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,253 : 100,202.25 = 100,202.25 : x
  2. Step 2: Convert to fraction form
    71,253/100,202.25 = 100,202.25/x
  3. Step 3: Cross multiply
    71,253x = 100,202.25 × 100,202.25
  4. Step 4: Simplify right side
    71,253x = 10,040,490,905.06
  5. Step 5: Solve for x
    x = 10,040,490,905.06/71,253
  6. Step 6: Final answer
    x = 140,913.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.