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Finding the Third Proportional to 99,110 and 213,772

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Solution

The third proportional to 99,110 and 213,772 is: 461,088.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,110 : 213,772 = 213,772 : x
  2. Step 2: Convert to fraction form
    99,110/213,772 = 213,772/x
  3. Step 3: Cross multiply
    99,110x = 213,772 × 213,772
  4. Step 4: Simplify right side
    99,110x = 45,698,467,984
  5. Step 5: Solve for x
    x = 45,698,467,984/99,110
  6. Step 6: Final answer
    x = 461,088.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.