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Finding the Third Proportional to 213,294 and 322,208

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Solution

The third proportional to 213,294 and 322,208 is: 486,736.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,294 : 322,208 = 322,208 : x
  2. Step 2: Convert to fraction form
    213,294/322,208 = 322,208/x
  3. Step 3: Cross multiply
    213,294x = 322,208 × 322,208
  4. Step 4: Simplify right side
    213,294x = 103,817,995,264
  5. Step 5: Solve for x
    x = 103,817,995,264/213,294
  6. Step 6: Final answer
    x = 486,736.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.