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Finding the Third Proportional to 29,581 and 64,345

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Solution

The third proportional to 29,581 and 64,345 is: 139,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,581 : 64,345 = 64,345 : x
  2. Step 2: Convert to fraction form
    29,581/64,345 = 64,345/x
  3. Step 3: Cross multiply
    29,581x = 64,345 × 64,345
  4. Step 4: Simplify right side
    29,581x = 4,140,279,025
  5. Step 5: Solve for x
    x = 4,140,279,025/29,581
  6. Step 6: Final answer
    x = 139,964.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.