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Finding the Third Proportional to 99,757 and 218,899

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Solution

The third proportional to 99,757 and 218,899 is: 480,334.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,757 : 218,899 = 218,899 : x
  2. Step 2: Convert to fraction form
    99,757/218,899 = 218,899/x
  3. Step 3: Cross multiply
    99,757x = 218,899 × 218,899
  4. Step 4: Simplify right side
    99,757x = 47,916,772,201
  5. Step 5: Solve for x
    x = 47,916,772,201/99,757
  6. Step 6: Final answer
    x = 480,334.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.