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Finding the Third Proportional to 27,249 and 42,453

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Solution

The third proportional to 27,249 and 42,453 is: 66,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,249 : 42,453 = 42,453 : x
  2. Step 2: Convert to fraction form
    27,249/42,453 = 42,453/x
  3. Step 3: Cross multiply
    27,249x = 42,453 × 42,453
  4. Step 4: Simplify right side
    27,249x = 1,802,257,209
  5. Step 5: Solve for x
    x = 1,802,257,209/27,249
  6. Step 6: Final answer
    x = 66,140.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.