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Finding the Third Proportional to 48,816 and 66,311

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Solution

The third proportional to 48,816 and 66,311 is: 90,075.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,816 : 66,311 = 66,311 : x
  2. Step 2: Convert to fraction form
    48,816/66,311 = 66,311/x
  3. Step 3: Cross multiply
    48,816x = 66,311 × 66,311
  4. Step 4: Simplify right side
    48,816x = 4,397,148,721
  5. Step 5: Solve for x
    x = 4,397,148,721/48,816
  6. Step 6: Final answer
    x = 90,075.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.