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Finding the Third Proportional to 217,439 and 345,922

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Solution

The third proportional to 217,439 and 345,922 is: 550,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,439 : 345,922 = 345,922 : x
  2. Step 2: Convert to fraction form
    217,439/345,922 = 345,922/x
  3. Step 3: Cross multiply
    217,439x = 345,922 × 345,922
  4. Step 4: Simplify right side
    217,439x = 119,662,030,084
  5. Step 5: Solve for x
    x = 119,662,030,084/217,439
  6. Step 6: Final answer
    x = 550,324.60

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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.