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Finding the Third Proportional to 119,885 and 243,314

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Solution

The third proportional to 119,885 and 243,314 is: 493,820.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,885 : 243,314 = 243,314 : x
  2. Step 2: Convert to fraction form
    119,885/243,314 = 243,314/x
  3. Step 3: Cross multiply
    119,885x = 243,314 × 243,314
  4. Step 4: Simplify right side
    119,885x = 59,201,702,596
  5. Step 5: Solve for x
    x = 59,201,702,596/119,885
  6. Step 6: Final answer
    x = 493,820.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.