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Finding the Third Proportional to 6,720 and 10,272

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Solution

The third proportional to 6,720 and 10,272 is: 15,701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720 : 10,272 = 10,272 : x
  2. Step 2: Convert to fraction form
    6,720/10,272 = 10,272/x
  3. Step 3: Cross multiply
    6,720x = 10,272 × 10,272
  4. Step 4: Simplify right side
    6,720x = 105,513,984
  5. Step 5: Solve for x
    x = 105,513,984/6,720
  6. Step 6: Final answer
    x = 15,701.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.