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Finding the Third Proportional to 315,478.50 and 458,818.50

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Solution

The third proportional to 315,478.50 and 458,818.50 is: 667,286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,478.50 : 458,818.50 = 458,818.50 : x
  2. Step 2: Convert to fraction form
    315,478.50/458,818.50 = 458,818.50/x
  3. Step 3: Cross multiply
    315,478.50x = 458,818.50 × 458,818.50
  4. Step 4: Simplify right side
    315,478.50x = 210,514,415,942.25
  5. Step 5: Solve for x
    x = 210,514,415,942.25/315,478.50
  6. Step 6: Final answer
    x = 667,286.09

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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.