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Finding the Third Proportional to 203,405 and 442,486

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Solution

The third proportional to 203,405 and 442,486 is: 962,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,405 : 442,486 = 442,486 : x
  2. Step 2: Convert to fraction form
    203,405/442,486 = 442,486/x
  3. Step 3: Cross multiply
    203,405x = 442,486 × 442,486
  4. Step 4: Simplify right side
    203,405x = 195,793,860,196
  5. Step 5: Solve for x
    x = 195,793,860,196/203,405
  6. Step 6: Final answer
    x = 962,581.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.