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Finding the Third Proportional to 171,139.50 and 266,379

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Solution

The third proportional to 171,139.50 and 266,379 is: 414,619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,139.50 : 266,379 = 266,379 : x
  2. Step 2: Convert to fraction form
    171,139.50/266,379 = 266,379/x
  3. Step 3: Cross multiply
    171,139.50x = 266,379 × 266,379
  4. Step 4: Simplify right side
    171,139.50x = 70,957,771,641
  5. Step 5: Solve for x
    x = 70,957,771,641/171,139.50
  6. Step 6: Final answer
    x = 414,619.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.