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Finding the Third Proportional to 38,786 and 61,515

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Solution

The third proportional to 38,786 and 61,515 is: 97,563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,786 : 61,515 = 61,515 : x
  2. Step 2: Convert to fraction form
    38,786/61,515 = 61,515/x
  3. Step 3: Cross multiply
    38,786x = 61,515 × 61,515
  4. Step 4: Simplify right side
    38,786x = 3,784,095,225
  5. Step 5: Solve for x
    x = 3,784,095,225/38,786
  6. Step 6: Final answer
    x = 97,563.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.