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Finding the Third Proportional to 217,340 and 345,810

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Solution

The third proportional to 217,340 and 345,810 is: 550,218.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,340 : 345,810 = 345,810 : x
  2. Step 2: Convert to fraction form
    217,340/345,810 = 345,810/x
  3. Step 3: Cross multiply
    217,340x = 345,810 × 345,810
  4. Step 4: Simplify right side
    217,340x = 119,584,556,100
  5. Step 5: Solve for x
    x = 119,584,556,100/217,340
  6. Step 6: Final answer
    x = 550,218.81

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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.