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Finding the Third Proportional to 99,009 and 216,732

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Solution

The third proportional to 99,009 and 216,732 is: 474,429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,009 : 216,732 = 216,732 : x
  2. Step 2: Convert to fraction form
    99,009/216,732 = 216,732/x
  3. Step 3: Cross multiply
    99,009x = 216,732 × 216,732
  4. Step 4: Simplify right side
    99,009x = 46,972,759,824
  5. Step 5: Solve for x
    x = 46,972,759,824/99,009
  6. Step 6: Final answer
    x = 474,429.19

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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.