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Finding the Third Proportional to 340,422.75 and 512,103.52

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Solution

The third proportional to 340,422.75 and 512,103.52 is: 770,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,422.75 : 512,103.52 = 512,103.52 : x
  2. Step 2: Convert to fraction form
    340,422.75/512,103.52 = 512,103.52/x
  3. Step 3: Cross multiply
    340,422.75x = 512,103.52 × 512,103.52
  4. Step 4: Simplify right side
    340,422.75x = 262,250,010,715.49
  5. Step 5: Solve for x
    x = 262,250,010,715.49/340,422.75
  6. Step 6: Final answer
    x = 770,365.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.