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Finding the Third Proportional to 203,490 and 442,012

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Solution

The third proportional to 203,490 and 442,012 is: 960,118.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,490 : 442,012 = 442,012 : x
  2. Step 2: Convert to fraction form
    203,490/442,012 = 442,012/x
  3. Step 3: Cross multiply
    203,490x = 442,012 × 442,012
  4. Step 4: Simplify right side
    203,490x = 195,374,608,144
  5. Step 5: Solve for x
    x = 195,374,608,144/203,490
  6. Step 6: Final answer
    x = 960,118.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.