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Finding the Third Proportional to 303,370 and 408,398

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Solution

The third proportional to 303,370 and 408,398 is: 549,787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,370 : 408,398 = 408,398 : x
  2. Step 2: Convert to fraction form
    303,370/408,398 = 408,398/x
  3. Step 3: Cross multiply
    303,370x = 408,398 × 408,398
  4. Step 4: Simplify right side
    303,370x = 166,788,926,404
  5. Step 5: Solve for x
    x = 166,788,926,404/303,370
  6. Step 6: Final answer
    x = 549,787.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.