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Finding the Third Proportional to 68,132 and 145,579

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Solution

The third proportional to 68,132 and 145,579 is: 311,061.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,132 : 145,579 = 145,579 : x
  2. Step 2: Convert to fraction form
    68,132/145,579 = 145,579/x
  3. Step 3: Cross multiply
    68,132x = 145,579 × 145,579
  4. Step 4: Simplify right side
    68,132x = 21,193,245,241
  5. Step 5: Solve for x
    x = 21,193,245,241/68,132
  6. Step 6: Final answer
    x = 311,061.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.