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Finding the Third Proportional to 217,437 and 345,919

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Solution

The third proportional to 217,437 and 345,919 is: 550,320.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,437 : 345,919 = 345,919 : x
  2. Step 2: Convert to fraction form
    217,437/345,919 = 345,919/x
  3. Step 3: Cross multiply
    217,437x = 345,919 × 345,919
  4. Step 4: Simplify right side
    217,437x = 119,659,954,561
  5. Step 5: Solve for x
    x = 119,659,954,561/217,437
  6. Step 6: Final answer
    x = 550,320.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.