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Finding the Third Proportional to 15,920 and 17,360

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Solution

The third proportional to 15,920 and 17,360 is: 18,930.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920 : 17,360 = 17,360 : x
  2. Step 2: Convert to fraction form
    15,920/17,360 = 17,360/x
  3. Step 3: Cross multiply
    15,920x = 17,360 × 17,360
  4. Step 4: Simplify right side
    15,920x = 301,369,600
  5. Step 5: Solve for x
    x = 301,369,600/15,920
  6. Step 6: Final answer
    x = 18,930.25

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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.