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Finding the Third Proportional to 171,208 and 266,138

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Solution

The third proportional to 171,208 and 266,138 is: 413,704.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,208 : 266,138 = 266,138 : x
  2. Step 2: Convert to fraction form
    171,208/266,138 = 266,138/x
  3. Step 3: Cross multiply
    171,208x = 266,138 × 266,138
  4. Step 4: Simplify right side
    171,208x = 70,829,435,044
  5. Step 5: Solve for x
    x = 70,829,435,044/171,208
  6. Step 6: Final answer
    x = 413,704.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.