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Finding the Third Proportional to 51,133 and 109,552

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Solution

The third proportional to 51,133 and 109,552 is: 234,714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,133 : 109,552 = 109,552 : x
  2. Step 2: Convert to fraction form
    51,133/109,552 = 109,552/x
  3. Step 3: Cross multiply
    51,133x = 109,552 × 109,552
  4. Step 4: Simplify right side
    51,133x = 12,001,640,704
  5. Step 5: Solve for x
    x = 12,001,640,704/51,133
  6. Step 6: Final answer
    x = 234,714.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.