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Finding the Third Proportional to 202,311 and 442,720

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Solution

The third proportional to 202,311 and 442,720 is: 968,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,311 : 442,720 = 442,720 : x
  2. Step 2: Convert to fraction form
    202,311/442,720 = 442,720/x
  3. Step 3: Cross multiply
    202,311x = 442,720 × 442,720
  4. Step 4: Simplify right side
    202,311x = 196,000,998,400
  5. Step 5: Solve for x
    x = 196,000,998,400/202,311
  6. Step 6: Final answer
    x = 968,810.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.