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Finding the Third Proportional to 12,072 and 13,776

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Solution

The third proportional to 12,072 and 13,776 is: 15,720.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072 : 13,776 = 13,776 : x
  2. Step 2: Convert to fraction form
    12,072/13,776 = 13,776/x
  3. Step 3: Cross multiply
    12,072x = 13,776 × 13,776
  4. Step 4: Simplify right side
    12,072x = 189,778,176
  5. Step 5: Solve for x
    x = 189,778,176/12,072
  6. Step 6: Final answer
    x = 15,720.52

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.