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Finding the Third Proportional to 299,243.11 and 420,877.90

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Solution

The third proportional to 299,243.11 and 420,877.90 is: 591,954.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,243.11 : 420,877.90 = 420,877.90 : x
  2. Step 2: Convert to fraction form
    299,243.11/420,877.90 = 420,877.90/x
  3. Step 3: Cross multiply
    299,243.11x = 420,877.90 × 420,877.90
  4. Step 4: Simplify right side
    299,243.11x = 177,138,205,393.17
  5. Step 5: Solve for x
    x = 177,138,205,393.17/299,243.11
  6. Step 6: Final answer
    x = 591,954.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.