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Finding the Third Proportional to 29,647 and 64,215

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Solution

The third proportional to 29,647 and 64,215 is: 139,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,647 : 64,215 = 64,215 : x
  2. Step 2: Convert to fraction form
    29,647/64,215 = 64,215/x
  3. Step 3: Cross multiply
    29,647x = 64,215 × 64,215
  4. Step 4: Simplify right side
    29,647x = 4,123,566,225
  5. Step 5: Solve for x
    x = 4,123,566,225/29,647
  6. Step 6: Final answer
    x = 139,088.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.