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Finding the Third Proportional to 89,378 and 138,972

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Solution

The third proportional to 89,378 and 138,972 is: 216,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,378 : 138,972 = 138,972 : x
  2. Step 2: Convert to fraction form
    89,378/138,972 = 138,972/x
  3. Step 3: Cross multiply
    89,378x = 138,972 × 138,972
  4. Step 4: Simplify right side
    89,378x = 19,313,216,784
  5. Step 5: Solve for x
    x = 19,313,216,784/89,378
  6. Step 6: Final answer
    x = 216,084.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.