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Finding the Third Proportional to 332,125.50 and 512,919

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Solution

The third proportional to 332,125.50 and 512,919 is: 792,127.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,125.50 : 512,919 = 512,919 : x
  2. Step 2: Convert to fraction form
    332,125.50/512,919 = 512,919/x
  3. Step 3: Cross multiply
    332,125.50x = 512,919 × 512,919
  4. Step 4: Simplify right side
    332,125.50x = 263,085,900,561
  5. Step 5: Solve for x
    x = 263,085,900,561/332,125.50
  6. Step 6: Final answer
    x = 792,127.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.