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Finding the Third Proportional to 42,921 and 92,987

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Solution

The third proportional to 42,921 and 92,987 is: 201,453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,921 : 92,987 = 92,987 : x
  2. Step 2: Convert to fraction form
    42,921/92,987 = 92,987/x
  3. Step 3: Cross multiply
    42,921x = 92,987 × 92,987
  4. Step 4: Simplify right side
    42,921x = 8,646,582,169
  5. Step 5: Solve for x
    x = 8,646,582,169/42,921
  6. Step 6: Final answer
    x = 201,453.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.