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Finding the Third Proportional to 27,270 and 42,102

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Solution

The third proportional to 27,270 and 42,102 is: 65,001.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,270 : 42,102 = 42,102 : x
  2. Step 2: Convert to fraction form
    27,270/42,102 = 42,102/x
  3. Step 3: Cross multiply
    27,270x = 42,102 × 42,102
  4. Step 4: Simplify right side
    27,270x = 1,772,578,404
  5. Step 5: Solve for x
    x = 1,772,578,404/27,270
  6. Step 6: Final answer
    x = 65,001.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.