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Finding the Third Proportional to 42,361 and 98,489

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Solution

The third proportional to 42,361 and 98,489 is: 228,986.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,361 : 98,489 = 98,489 : x
  2. Step 2: Convert to fraction form
    42,361/98,489 = 98,489/x
  3. Step 3: Cross multiply
    42,361x = 98,489 × 98,489
  4. Step 4: Simplify right side
    42,361x = 9,700,083,121
  5. Step 5: Solve for x
    x = 9,700,083,121/42,361
  6. Step 6: Final answer
    x = 228,986.17

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.