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Finding the Third Proportional to 201,120 and 442,416

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Solution

The third proportional to 201,120 and 442,416 is: 973,209.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,120 : 442,416 = 442,416 : x
  2. Step 2: Convert to fraction form
    201,120/442,416 = 442,416/x
  3. Step 3: Cross multiply
    201,120x = 442,416 × 442,416
  4. Step 4: Simplify right side
    201,120x = 195,731,917,056
  5. Step 5: Solve for x
    x = 195,731,917,056/201,120
  6. Step 6: Final answer
    x = 973,209.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.