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Finding the Third Proportional to 200,721 and 275,239

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Solution

The third proportional to 200,721 and 275,239 is: 377,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,721 : 275,239 = 275,239 : x
  2. Step 2: Convert to fraction form
    200,721/275,239 = 275,239/x
  3. Step 3: Cross multiply
    200,721x = 275,239 × 275,239
  4. Step 4: Simplify right side
    200,721x = 75,756,507,121
  5. Step 5: Solve for x
    x = 75,756,507,121/200,721
  6. Step 6: Final answer
    x = 377,421.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.