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Finding the Third Proportional to 42,309 and 92,921

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Solution

The third proportional to 42,309 and 92,921 is: 204,077.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,309 : 92,921 = 92,921 : x
  2. Step 2: Convert to fraction form
    42,309/92,921 = 92,921/x
  3. Step 3: Cross multiply
    42,309x = 92,921 × 92,921
  4. Step 4: Simplify right side
    42,309x = 8,634,312,241
  5. Step 5: Solve for x
    x = 8,634,312,241/42,309
  6. Step 6: Final answer
    x = 204,077.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.