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Finding the Third Proportional to 211,464 and 311,355

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Solution

The third proportional to 211,464 and 311,355 is: 458,432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,464 : 311,355 = 311,355 : x
  2. Step 2: Convert to fraction form
    211,464/311,355 = 311,355/x
  3. Step 3: Cross multiply
    211,464x = 311,355 × 311,355
  4. Step 4: Simplify right side
    211,464x = 96,941,936,025
  5. Step 5: Solve for x
    x = 96,941,936,025/211,464
  6. Step 6: Final answer
    x = 458,432.34

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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.