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Finding the Third Proportional to 15,040 and 16,320

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Solution

The third proportional to 15,040 and 16,320 is: 17,708.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,040 : 16,320 = 16,320 : x
  2. Step 2: Convert to fraction form
    15,040/16,320 = 16,320/x
  3. Step 3: Cross multiply
    15,040x = 16,320 × 16,320
  4. Step 4: Simplify right side
    15,040x = 266,342,400
  5. Step 5: Solve for x
    x = 266,342,400/15,040
  6. Step 6: Final answer
    x = 17,708.94

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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.