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Finding the Third Proportional to 28,776 and 69,996

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Solution

The third proportional to 28,776 and 69,996 is: 170,261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,776 : 69,996 = 69,996 : x
  2. Step 2: Convert to fraction form
    28,776/69,996 = 69,996/x
  3. Step 3: Cross multiply
    28,776x = 69,996 × 69,996
  4. Step 4: Simplify right side
    28,776x = 4,899,440,016
  5. Step 5: Solve for x
    x = 4,899,440,016/28,776
  6. Step 6: Final answer
    x = 170,261.33

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.