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Finding the Third Proportional to 100,228 and 217,943

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Solution

The third proportional to 100,228 and 217,943 is: 473,911.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,228 : 217,943 = 217,943 : x
  2. Step 2: Convert to fraction form
    100,228/217,943 = 217,943/x
  3. Step 3: Cross multiply
    100,228x = 217,943 × 217,943
  4. Step 4: Simplify right side
    100,228x = 47,499,151,249
  5. Step 5: Solve for x
    x = 47,499,151,249/100,228
  6. Step 6: Final answer
    x = 473,911.00

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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.