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Finding the Third Proportional to 68,040 and 146,496

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Solution

The third proportional to 68,040 and 146,496 is: 315,418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,040 : 146,496 = 146,496 : x
  2. Step 2: Convert to fraction form
    68,040/146,496 = 146,496/x
  3. Step 3: Cross multiply
    68,040x = 146,496 × 146,496
  4. Step 4: Simplify right side
    68,040x = 21,461,078,016
  5. Step 5: Solve for x
    x = 21,461,078,016/68,040
  6. Step 6: Final answer
    x = 315,418.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.