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Finding the Third Proportional to 99,988 and 217,388

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Solution

The third proportional to 99,988 and 217,388 is: 472,632.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,988 : 217,388 = 217,388 : x
  2. Step 2: Convert to fraction form
    99,988/217,388 = 217,388/x
  3. Step 3: Cross multiply
    99,988x = 217,388 × 217,388
  4. Step 4: Simplify right side
    99,988x = 47,257,542,544
  5. Step 5: Solve for x
    x = 47,257,542,544/99,988
  6. Step 6: Final answer
    x = 472,632.14

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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.