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Finding the Third Proportional to 340,917.75 and 508,419

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Solution

The third proportional to 340,917.75 and 508,419 is: 758,217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,917.75 : 508,419 = 508,419 : x
  2. Step 2: Convert to fraction form
    340,917.75/508,419 = 508,419/x
  3. Step 3: Cross multiply
    340,917.75x = 508,419 × 508,419
  4. Step 4: Simplify right side
    340,917.75x = 258,489,879,561
  5. Step 5: Solve for x
    x = 258,489,879,561/340,917.75
  6. Step 6: Final answer
    x = 758,217.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.