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Finding the Third Proportional to 159,724 and 247,281

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Solution

The third proportional to 159,724 and 247,281 is: 382,834.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,724 : 247,281 = 247,281 : x
  2. Step 2: Convert to fraction form
    159,724/247,281 = 247,281/x
  3. Step 3: Cross multiply
    159,724x = 247,281 × 247,281
  4. Step 4: Simplify right side
    159,724x = 61,147,892,961
  5. Step 5: Solve for x
    x = 61,147,892,961/159,724
  6. Step 6: Final answer
    x = 382,834.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.