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Finding the Third Proportional to 52,010 and 80,689

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Solution

The third proportional to 52,010 and 80,689 is: 125,181.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,010 : 80,689 = 80,689 : x
  2. Step 2: Convert to fraction form
    52,010/80,689 = 80,689/x
  3. Step 3: Cross multiply
    52,010x = 80,689 × 80,689
  4. Step 4: Simplify right side
    52,010x = 6,510,714,721
  5. Step 5: Solve for x
    x = 6,510,714,721/52,010
  6. Step 6: Final answer
    x = 125,181.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.