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Finding the Third Proportional to 27,242 and 42,807

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Solution

The third proportional to 27,242 and 42,807 is: 67,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,242 : 42,807 = 42,807 : x
  2. Step 2: Convert to fraction form
    27,242/42,807 = 42,807/x
  3. Step 3: Cross multiply
    27,242x = 42,807 × 42,807
  4. Step 4: Simplify right side
    27,242x = 1,832,439,249
  5. Step 5: Solve for x
    x = 1,832,439,249/27,242
  6. Step 6: Final answer
    x = 67,265.22

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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.