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Finding the Third Proportional to 199,056 and 433,105

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Solution

The third proportional to 199,056 and 433,105 is: 942,347.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,056 : 433,105 = 433,105 : x
  2. Step 2: Convert to fraction form
    199,056/433,105 = 433,105/x
  3. Step 3: Cross multiply
    199,056x = 433,105 × 433,105
  4. Step 4: Simplify right side
    199,056x = 187,579,941,025
  5. Step 5: Solve for x
    x = 187,579,941,025/199,056
  6. Step 6: Final answer
    x = 942,347.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.