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Finding the Third Proportional to 26,985 and 42,243

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Solution

The third proportional to 26,985 and 42,243 is: 66,128.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,985 : 42,243 = 42,243 : x
  2. Step 2: Convert to fraction form
    26,985/42,243 = 42,243/x
  3. Step 3: Cross multiply
    26,985x = 42,243 × 42,243
  4. Step 4: Simplify right side
    26,985x = 1,784,471,049
  5. Step 5: Solve for x
    x = 1,784,471,049/26,985
  6. Step 6: Final answer
    x = 66,128.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.