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Finding the Third Proportional to 27,790 and 40,710

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Solution

The third proportional to 27,790 and 40,710 is: 59,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,790 : 40,710 = 40,710 : x
  2. Step 2: Convert to fraction form
    27,790/40,710 = 40,710/x
  3. Step 3: Cross multiply
    27,790x = 40,710 × 40,710
  4. Step 4: Simplify right side
    27,790x = 1,657,304,100
  5. Step 5: Solve for x
    x = 1,657,304,100/27,790
  6. Step 6: Final answer
    x = 59,636.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.