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Finding the Third Proportional to 83,415 and 181,518

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Solution

The third proportional to 83,415 and 181,518 is: 394,998.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,415 : 181,518 = 181,518 : x
  2. Step 2: Convert to fraction form
    83,415/181,518 = 181,518/x
  3. Step 3: Cross multiply
    83,415x = 181,518 × 181,518
  4. Step 4: Simplify right side
    83,415x = 32,948,784,324
  5. Step 5: Solve for x
    x = 32,948,784,324/83,415
  6. Step 6: Final answer
    x = 394,998.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.