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Finding the Third Proportional to 353,115 and 453,390.75

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Solution

The third proportional to 353,115 and 453,390.75 is: 582,142.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,115 : 453,390.75 = 453,390.75 : x
  2. Step 2: Convert to fraction form
    353,115/453,390.75 = 453,390.75/x
  3. Step 3: Cross multiply
    353,115x = 453,390.75 × 453,390.75
  4. Step 4: Simplify right side
    353,115x = 205,563,172,185.56
  5. Step 5: Solve for x
    x = 205,563,172,185.56/353,115
  6. Step 6: Final answer
    x = 582,142.28

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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.