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Finding the Third Proportional to 29,977 and 64,571

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Solution

The third proportional to 29,977 and 64,571 is: 139,087.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,977 : 64,571 = 64,571 : x
  2. Step 2: Convert to fraction form
    29,977/64,571 = 64,571/x
  3. Step 3: Cross multiply
    29,977x = 64,571 × 64,571
  4. Step 4: Simplify right side
    29,977x = 4,169,414,041
  5. Step 5: Solve for x
    x = 4,169,414,041/29,977
  6. Step 6: Final answer
    x = 139,087.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.