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Finding the Third Proportional to 97,418 and 202,489.50

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Solution

The third proportional to 97,418 and 202,489.50 is: 420,887.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,418 : 202,489.50 = 202,489.50 : x
  2. Step 2: Convert to fraction form
    97,418/202,489.50 = 202,489.50/x
  3. Step 3: Cross multiply
    97,418x = 202,489.50 × 202,489.50
  4. Step 4: Simplify right side
    97,418x = 41,001,997,610.25
  5. Step 5: Solve for x
    x = 41,001,997,610.25/97,418
  6. Step 6: Final answer
    x = 420,887.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.