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Finding the Third Proportional to 200,720 and 288,505

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Solution

The third proportional to 200,720 and 288,505 is: 414,682.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,720 : 288,505 = 288,505 : x
  2. Step 2: Convert to fraction form
    200,720/288,505 = 288,505/x
  3. Step 3: Cross multiply
    200,720x = 288,505 × 288,505
  4. Step 4: Simplify right side
    200,720x = 83,235,135,025
  5. Step 5: Solve for x
    x = 83,235,135,025/200,720
  6. Step 6: Final answer
    x = 414,682.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.