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Finding the Third Proportional to 332,511 and 515,920.50

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Solution

The third proportional to 332,511 and 515,920.50 is: 800,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,511 : 515,920.50 = 515,920.50 : x
  2. Step 2: Convert to fraction form
    332,511/515,920.50 = 515,920.50/x
  3. Step 3: Cross multiply
    332,511x = 515,920.50 × 515,920.50
  4. Step 4: Simplify right side
    332,511x = 266,173,962,320.25
  5. Step 5: Solve for x
    x = 266,173,962,320.25/332,511
  6. Step 6: Final answer
    x = 800,496.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.