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Finding the Third Proportional to 68,409 and 98,988

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Solution

The third proportional to 68,409 and 98,988 is: 143,235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,409 : 98,988 = 98,988 : x
  2. Step 2: Convert to fraction form
    68,409/98,988 = 98,988/x
  3. Step 3: Cross multiply
    68,409x = 98,988 × 98,988
  4. Step 4: Simplify right side
    68,409x = 9,798,624,144
  5. Step 5: Solve for x
    x = 9,798,624,144/68,409
  6. Step 6: Final answer
    x = 143,235.89

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.