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Finding the Third Proportional to 353,110 and 453,380

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Solution

The third proportional to 353,110 and 453,380 is: 582,122.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,110 : 453,380 = 453,380 : x
  2. Step 2: Convert to fraction form
    353,110/453,380 = 453,380/x
  3. Step 3: Cross multiply
    353,110x = 453,380 × 453,380
  4. Step 4: Simplify right side
    353,110x = 205,553,424,400
  5. Step 5: Solve for x
    x = 205,553,424,400/353,110
  6. Step 6: Final answer
    x = 582,122.92

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.