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Finding the Third Proportional to 100,270.13 and 217,830.38

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Solution

The third proportional to 100,270.13 and 217,830.38 is: 473,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,270.13 : 217,830.38 = 217,830.38 : x
  2. Step 2: Convert to fraction form
    100,270.13/217,830.38 = 217,830.38/x
  3. Step 3: Cross multiply
    100,270.13x = 217,830.38 × 217,830.38
  4. Step 4: Simplify right side
    100,270.13x = 47,450,072,272.64
  5. Step 5: Solve for x
    x = 47,450,072,272.64/100,270.13
  6. Step 6: Final answer
    x = 473,222.43

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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.