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Finding the Third Proportional to 14,280 and 25,728

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Solution

The third proportional to 14,280 and 25,728 is: 46,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,280 : 25,728 = 25,728 : x
  2. Step 2: Convert to fraction form
    14,280/25,728 = 25,728/x
  3. Step 3: Cross multiply
    14,280x = 25,728 × 25,728
  4. Step 4: Simplify right side
    14,280x = 661,929,984
  5. Step 5: Solve for x
    x = 661,929,984/14,280
  6. Step 6: Final answer
    x = 46,353.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.