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Finding the Third Proportional to 52,888 and 76,420

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Solution

The third proportional to 52,888 and 76,420 is: 110,422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,888 : 76,420 = 76,420 : x
  2. Step 2: Convert to fraction form
    52,888/76,420 = 76,420/x
  3. Step 3: Cross multiply
    52,888x = 76,420 × 76,420
  4. Step 4: Simplify right side
    52,888x = 5,840,016,400
  5. Step 5: Solve for x
    x = 5,840,016,400/52,888
  6. Step 6: Final answer
    x = 110,422.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.