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Finding the Third Proportional to 211,826 and 311,253

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Solution

The third proportional to 211,826 and 311,253 is: 457,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,826 : 311,253 = 311,253 : x
  2. Step 2: Convert to fraction form
    211,826/311,253 = 311,253/x
  3. Step 3: Cross multiply
    211,826x = 311,253 × 311,253
  4. Step 4: Simplify right side
    211,826x = 96,878,430,009
  5. Step 5: Solve for x
    x = 96,878,430,009/211,826
  6. Step 6: Final answer
    x = 457,349.10

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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.