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Finding the Third Proportional to 22,560 and 33,710

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Solution

The third proportional to 22,560 and 33,710 is: 50,370.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,560 : 33,710 = 33,710 : x
  2. Step 2: Convert to fraction form
    22,560/33,710 = 33,710/x
  3. Step 3: Cross multiply
    22,560x = 33,710 × 33,710
  4. Step 4: Simplify right side
    22,560x = 1,136,364,100
  5. Step 5: Solve for x
    x = 1,136,364,100/22,560
  6. Step 6: Final answer
    x = 50,370.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.