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Finding the Third Proportional to 45,072 and 66,864

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Solution

The third proportional to 45,072 and 66,864 is: 99,192.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,072 : 66,864 = 66,864 : x
  2. Step 2: Convert to fraction form
    45,072/66,864 = 66,864/x
  3. Step 3: Cross multiply
    45,072x = 66,864 × 66,864
  4. Step 4: Simplify right side
    45,072x = 4,470,794,496
  5. Step 5: Solve for x
    x = 4,470,794,496/45,072
  6. Step 6: Final answer
    x = 99,192.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.