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Finding the Third Proportional to 38,388 and 58,515

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Solution

The third proportional to 38,388 and 58,515 is: 89,194.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,388 : 58,515 = 58,515 : x
  2. Step 2: Convert to fraction form
    38,388/58,515 = 58,515/x
  3. Step 3: Cross multiply
    38,388x = 58,515 × 58,515
  4. Step 4: Simplify right side
    38,388x = 3,424,005,225
  5. Step 5: Solve for x
    x = 3,424,005,225/38,388
  6. Step 6: Final answer
    x = 89,194.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.