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Finding the Third Proportional to 211,470 and 311,364

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Solution

The third proportional to 211,470 and 311,364 is: 458,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,470 : 311,364 = 311,364 : x
  2. Step 2: Convert to fraction form
    211,470/311,364 = 311,364/x
  3. Step 3: Cross multiply
    211,470x = 311,364 × 311,364
  4. Step 4: Simplify right side
    211,470x = 96,947,540,496
  5. Step 5: Solve for x
    x = 96,947,540,496/211,470
  6. Step 6: Final answer
    x = 458,445.83

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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.