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Finding the Third Proportional to 80,398 and 122,470

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Solution

The third proportional to 80,398 and 122,470 is: 186,558.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,398 : 122,470 = 122,470 : x
  2. Step 2: Convert to fraction form
    80,398/122,470 = 122,470/x
  3. Step 3: Cross multiply
    80,398x = 122,470 × 122,470
  4. Step 4: Simplify right side
    80,398x = 14,998,900,900
  5. Step 5: Solve for x
    x = 14,998,900,900/80,398
  6. Step 6: Final answer
    x = 186,558.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.