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Finding the Third Proportional to 92,868 and 203,541

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Solution

The third proportional to 92,868 and 203,541 is: 446,105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,868 : 203,541 = 203,541 : x
  2. Step 2: Convert to fraction form
    92,868/203,541 = 203,541/x
  3. Step 3: Cross multiply
    92,868x = 203,541 × 203,541
  4. Step 4: Simplify right side
    92,868x = 41,428,938,681
  5. Step 5: Solve for x
    x = 41,428,938,681/92,868
  6. Step 6: Final answer
    x = 446,105.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.