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Finding the Third Proportional to 29,520 and 64,212

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Solution

The third proportional to 29,520 and 64,212 is: 139,674.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,520 : 64,212 = 64,212 : x
  2. Step 2: Convert to fraction form
    29,520/64,212 = 64,212/x
  3. Step 3: Cross multiply
    29,520x = 64,212 × 64,212
  4. Step 4: Simplify right side
    29,520x = 4,123,180,944
  5. Step 5: Solve for x
    x = 4,123,180,944/29,520
  6. Step 6: Final answer
    x = 139,674.15

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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.