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Finding the Third Proportional to 29,805 and 64,450

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Solution

The third proportional to 29,805 and 64,450 is: 139,365.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,805 : 64,450 = 64,450 : x
  2. Step 2: Convert to fraction form
    29,805/64,450 = 64,450/x
  3. Step 3: Cross multiply
    29,805x = 64,450 × 64,450
  4. Step 4: Simplify right side
    29,805x = 4,153,802,500
  5. Step 5: Solve for x
    x = 4,153,802,500/29,805
  6. Step 6: Final answer
    x = 139,365.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.