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Finding the Third Proportional to 180,283 and 261,122

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Solution

The third proportional to 180,283 and 261,122 is: 378,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,283 : 261,122 = 261,122 : x
  2. Step 2: Convert to fraction form
    180,283/261,122 = 261,122/x
  3. Step 3: Cross multiply
    180,283x = 261,122 × 261,122
  4. Step 4: Simplify right side
    180,283x = 68,184,698,884
  5. Step 5: Solve for x
    x = 68,184,698,884/180,283
  6. Step 6: Final answer
    x = 378,209.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.