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Finding the Third Proportional to 4,320 and 5,280

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Solution

The third proportional to 4,320 and 5,280 is: 6,453.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,320 : 5,280 = 5,280 : x
  2. Step 2: Convert to fraction form
    4,320/5,280 = 5,280/x
  3. Step 3: Cross multiply
    4,320x = 5,280 × 5,280
  4. Step 4: Simplify right side
    4,320x = 27,878,400
  5. Step 5: Solve for x
    x = 27,878,400/4,320
  6. Step 6: Final answer
    x = 6,453.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.