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Finding the Third Proportional to 315,474.75 and 458,814.38

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Solution

The third proportional to 315,474.75 and 458,814.38 is: 667,282.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,474.75 : 458,814.38 = 458,814.38 : x
  2. Step 2: Convert to fraction form
    315,474.75/458,814.38 = 458,814.38/x
  3. Step 3: Cross multiply
    315,474.75x = 458,814.38 × 458,814.38
  4. Step 4: Simplify right side
    315,474.75x = 210,510,630,706.64
  5. Step 5: Solve for x
    x = 210,510,630,706.64/315,474.75
  6. Step 6: Final answer
    x = 667,282.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.