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Finding the Third Proportional to 272,206 and 387,135

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Solution

The third proportional to 272,206 and 387,135 is: 550,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,206 : 387,135 = 387,135 : x
  2. Step 2: Convert to fraction form
    272,206/387,135 = 387,135/x
  3. Step 3: Cross multiply
    272,206x = 387,135 × 387,135
  4. Step 4: Simplify right side
    272,206x = 149,873,508,225
  5. Step 5: Solve for x
    x = 149,873,508,225/272,206
  6. Step 6: Final answer
    x = 550,588.56

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.