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Finding the Third Proportional to 29,815 and 63,805

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Solution

The third proportional to 29,815 and 63,805 is: 136,544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,815 : 63,805 = 63,805 : x
  2. Step 2: Convert to fraction form
    29,815/63,805 = 63,805/x
  3. Step 3: Cross multiply
    29,815x = 63,805 × 63,805
  4. Step 4: Simplify right side
    29,815x = 4,071,078,025
  5. Step 5: Solve for x
    x = 4,071,078,025/29,815
  6. Step 6: Final answer
    x = 136,544.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.