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Finding the Third Proportional to 200,976 and 418,490.63

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Solution

The third proportional to 200,976 and 418,490.63 is: 871,419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,976 : 418,490.63 = 418,490.63 : x
  2. Step 2: Convert to fraction form
    200,976/418,490.63 = 418,490.63/x
  3. Step 3: Cross multiply
    200,976x = 418,490.63 × 418,490.63
  4. Step 4: Simplify right side
    200,976x = 175,134,403,212.89
  5. Step 5: Solve for x
    x = 175,134,403,212.89/200,976
  6. Step 6: Final answer
    x = 871,419.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.