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Finding the Third Proportional to 200,120 and 442,246

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Solution

The third proportional to 200,120 and 442,246 is: 977,321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,120 : 442,246 = 442,246 : x
  2. Step 2: Convert to fraction form
    200,120/442,246 = 442,246/x
  3. Step 3: Cross multiply
    200,120x = 442,246 × 442,246
  4. Step 4: Simplify right side
    200,120x = 195,581,524,516
  5. Step 5: Solve for x
    x = 195,581,524,516/200,120
  6. Step 6: Final answer
    x = 977,321.23

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.