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Finding the Third Proportional to 120,258 and 261,009

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Solution

The third proportional to 120,258 and 261,009 is: 566,496.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,258 : 261,009 = 261,009 : x
  2. Step 2: Convert to fraction form
    120,258/261,009 = 261,009/x
  3. Step 3: Cross multiply
    120,258x = 261,009 × 261,009
  4. Step 4: Simplify right side
    120,258x = 68,125,698,081
  5. Step 5: Solve for x
    x = 68,125,698,081/120,258
  6. Step 6: Final answer
    x = 566,496.18

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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.