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Finding the Third Proportional to 204,135 and 266,835

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Solution

The third proportional to 204,135 and 266,835 is: 348,793.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,135 : 266,835 = 266,835 : x
  2. Step 2: Convert to fraction form
    204,135/266,835 = 266,835/x
  3. Step 3: Cross multiply
    204,135x = 266,835 × 266,835
  4. Step 4: Simplify right side
    204,135x = 71,200,917,225
  5. Step 5: Solve for x
    x = 71,200,917,225/204,135
  6. Step 6: Final answer
    x = 348,793.28

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.