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Finding the Third Proportional to 68,161.89 and 145,601.12

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Solution

The third proportional to 68,161.89 and 145,601.12 is: 311,019.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,161.89 : 145,601.12 = 145,601.12 : x
  2. Step 2: Convert to fraction form
    68,161.89/145,601.12 = 145,601.12/x
  3. Step 3: Cross multiply
    68,161.89x = 145,601.12 × 145,601.12
  4. Step 4: Simplify right side
    68,161.89x = 21,199,686,463.76
  5. Step 5: Solve for x
    x = 21,199,686,463.76/68,161.89
  6. Step 6: Final answer
    x = 311,019.65

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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.