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Finding the Third Proportional to 27,076 and 42,438

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Solution

The third proportional to 27,076 and 42,438 is: 66,515.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,076 : 42,438 = 42,438 : x
  2. Step 2: Convert to fraction form
    27,076/42,438 = 42,438/x
  3. Step 3: Cross multiply
    27,076x = 42,438 × 42,438
  4. Step 4: Simplify right side
    27,076x = 1,800,983,844
  5. Step 5: Solve for x
    x = 1,800,983,844/27,076
  6. Step 6: Final answer
    x = 66,515.88

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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.