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Finding the Third Proportional to 25,120 and 27,360

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Solution

The third proportional to 25,120 and 27,360 is: 29,799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,120 : 27,360 = 27,360 : x
  2. Step 2: Convert to fraction form
    25,120/27,360 = 27,360/x
  3. Step 3: Cross multiply
    25,120x = 27,360 × 27,360
  4. Step 4: Simplify right side
    25,120x = 748,569,600
  5. Step 5: Solve for x
    x = 748,569,600/25,120
  6. Step 6: Final answer
    x = 29,799.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.