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Finding the Third Proportional to 116,106.75 and 237,132

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Solution

The third proportional to 116,106.75 and 237,132 is: 484,309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,106.75 : 237,132 = 237,132 : x
  2. Step 2: Convert to fraction form
    116,106.75/237,132 = 237,132/x
  3. Step 3: Cross multiply
    116,106.75x = 237,132 × 237,132
  4. Step 4: Simplify right side
    116,106.75x = 56,231,585,424
  5. Step 5: Solve for x
    x = 56,231,585,424/116,106.75
  6. Step 6: Final answer
    x = 484,309.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.