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Finding the Third Proportional to 147,617 and 221,387

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Solution

The third proportional to 147,617 and 221,387 is: 332,022.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,617 : 221,387 = 221,387 : x
  2. Step 2: Convert to fraction form
    147,617/221,387 = 221,387/x
  3. Step 3: Cross multiply
    147,617x = 221,387 × 221,387
  4. Step 4: Simplify right side
    147,617x = 49,012,203,769
  5. Step 5: Solve for x
    x = 49,012,203,769/147,617
  6. Step 6: Final answer
    x = 332,022.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.