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Finding the Third Proportional to 175,421 and 266,822

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Solution

The third proportional to 175,421 and 266,822 is: 405,846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,421 : 266,822 = 266,822 : x
  2. Step 2: Convert to fraction form
    175,421/266,822 = 266,822/x
  3. Step 3: Cross multiply
    175,421x = 266,822 × 266,822
  4. Step 4: Simplify right side
    175,421x = 71,193,979,684
  5. Step 5: Solve for x
    x = 71,193,979,684/175,421
  6. Step 6: Final answer
    x = 405,846.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.