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Finding the Third Proportional to 175,420 and 266,820

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Solution

The third proportional to 175,420 and 266,820 is: 405,842.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,420 : 266,820 = 266,820 : x
  2. Step 2: Convert to fraction form
    175,420/266,820 = 266,820/x
  3. Step 3: Cross multiply
    175,420x = 266,820 × 266,820
  4. Step 4: Simplify right side
    175,420x = 71,192,912,400
  5. Step 5: Solve for x
    x = 71,192,912,400/175,420
  6. Step 6: Final answer
    x = 405,842.62

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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.