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Finding the Third Proportional to 211,154 and 311,132

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Solution

The third proportional to 211,154 and 311,132 is: 458,447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,154 : 311,132 = 311,132 : x
  2. Step 2: Convert to fraction form
    211,154/311,132 = 311,132/x
  3. Step 3: Cross multiply
    211,154x = 311,132 × 311,132
  4. Step 4: Simplify right side
    211,154x = 96,803,121,424
  5. Step 5: Solve for x
    x = 96,803,121,424/211,154
  6. Step 6: Final answer
    x = 458,447.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.