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Finding the Third Proportional to 96,406 and 207,612

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Solution

The third proportional to 96,406 and 207,612 is: 447,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,406 : 207,612 = 207,612 : x
  2. Step 2: Convert to fraction form
    96,406/207,612 = 207,612/x
  3. Step 3: Cross multiply
    96,406x = 207,612 × 207,612
  4. Step 4: Simplify right side
    96,406x = 43,102,742,544
  5. Step 5: Solve for x
    x = 43,102,742,544/96,406
  6. Step 6: Final answer
    x = 447,096.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.