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Finding the Third Proportional to 100,230 and 217,947

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Solution

The third proportional to 100,230 and 217,947 is: 473,918.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,230 : 217,947 = 217,947 : x
  2. Step 2: Convert to fraction form
    100,230/217,947 = 217,947/x
  3. Step 3: Cross multiply
    100,230x = 217,947 × 217,947
  4. Step 4: Simplify right side
    100,230x = 47,500,894,809
  5. Step 5: Solve for x
    x = 47,500,894,809/100,230
  6. Step 6: Final answer
    x = 473,918.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.