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Finding the Third Proportional to 159,306 and 243,981

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Solution

The third proportional to 159,306 and 243,981 is: 373,662.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,306 : 243,981 = 243,981 : x
  2. Step 2: Convert to fraction form
    159,306/243,981 = 243,981/x
  3. Step 3: Cross multiply
    159,306x = 243,981 × 243,981
  4. Step 4: Simplify right side
    159,306x = 59,526,728,361
  5. Step 5: Solve for x
    x = 59,526,728,361/159,306
  6. Step 6: Final answer
    x = 373,662.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.