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Finding the Third Proportional to 38,720 and 61,536

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Solution

The third proportional to 38,720 and 61,536 is: 97,796.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,720 : 61,536 = 61,536 : x
  2. Step 2: Convert to fraction form
    38,720/61,536 = 61,536/x
  3. Step 3: Cross multiply
    38,720x = 61,536 × 61,536
  4. Step 4: Simplify right side
    38,720x = 3,786,679,296
  5. Step 5: Solve for x
    x = 3,786,679,296/38,720
  6. Step 6: Final answer
    x = 97,796.47

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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.