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Finding the Third Proportional to 211,469 and 311,362

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Solution

The third proportional to 211,469 and 311,362 is: 458,442.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,469 : 311,362 = 311,362 : x
  2. Step 2: Convert to fraction form
    211,469/311,362 = 311,362/x
  3. Step 3: Cross multiply
    211,469x = 311,362 × 311,362
  4. Step 4: Simplify right side
    211,469x = 96,946,295,044
  5. Step 5: Solve for x
    x = 96,946,295,044/211,469
  6. Step 6: Final answer
    x = 458,442.11

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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.