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Finding the Third Proportional to 45,146 and 67,721

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Solution

The third proportional to 45,146 and 67,721 is: 101,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,146 : 67,721 = 67,721 : x
  2. Step 2: Convert to fraction form
    45,146/67,721 = 67,721/x
  3. Step 3: Cross multiply
    45,146x = 67,721 × 67,721
  4. Step 4: Simplify right side
    45,146x = 4,586,133,841
  5. Step 5: Solve for x
    x = 4,586,133,841/45,146
  6. Step 6: Final answer
    x = 101,584.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.