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Finding the Third Proportional to 27,888 and 42,984

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Solution

The third proportional to 27,888 and 42,984 is: 66,251.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,888 : 42,984 = 42,984 : x
  2. Step 2: Convert to fraction form
    27,888/42,984 = 42,984/x
  3. Step 3: Cross multiply
    27,888x = 42,984 × 42,984
  4. Step 4: Simplify right side
    27,888x = 1,847,624,256
  5. Step 5: Solve for x
    x = 1,847,624,256/27,888
  6. Step 6: Final answer
    x = 66,251.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.