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Finding the Third Proportional to 29,405 and 64,642

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Solution

The third proportional to 29,405 and 64,642 is: 142,104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,405 : 64,642 = 64,642 : x
  2. Step 2: Convert to fraction form
    29,405/64,642 = 64,642/x
  3. Step 3: Cross multiply
    29,405x = 64,642 × 64,642
  4. Step 4: Simplify right side
    29,405x = 4,178,588,164
  5. Step 5: Solve for x
    x = 4,178,588,164/29,405
  6. Step 6: Final answer
    x = 142,104.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.