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Finding the Third Proportional to 171,454 and 266,721

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Solution

The third proportional to 171,454 and 266,721 is: 414,922.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,454 : 266,721 = 266,721 : x
  2. Step 2: Convert to fraction form
    171,454/266,721 = 266,721/x
  3. Step 3: Cross multiply
    171,454x = 266,721 × 266,721
  4. Step 4: Simplify right side
    171,454x = 71,140,091,841
  5. Step 5: Solve for x
    x = 71,140,091,841/171,454
  6. Step 6: Final answer
    x = 414,922.32

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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.