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Finding the Third Proportional to 181,743 and 385,518

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Solution

The third proportional to 181,743 and 385,518 is: 817,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,743 : 385,518 = 385,518 : x
  2. Step 2: Convert to fraction form
    181,743/385,518 = 385,518/x
  3. Step 3: Cross multiply
    181,743x = 385,518 × 385,518
  4. Step 4: Simplify right side
    181,743x = 148,624,128,324
  5. Step 5: Solve for x
    x = 148,624,128,324/181,743
  6. Step 6: Final answer
    x = 817,770.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.