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Finding the Third Proportional to 38,278 and 58,638

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Solution

The third proportional to 38,278 and 58,638 is: 89,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,278 : 58,638 = 58,638 : x
  2. Step 2: Convert to fraction form
    38,278/58,638 = 58,638/x
  3. Step 3: Cross multiply
    38,278x = 58,638 × 58,638
  4. Step 4: Simplify right side
    38,278x = 3,438,415,044
  5. Step 5: Solve for x
    x = 3,438,415,044/38,278
  6. Step 6: Final answer
    x = 89,827.45

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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.