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Finding the Third Proportional to 332,280 and 515,470.50

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Solution

The third proportional to 332,280 and 515,470.50 is: 799,656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,280 : 515,470.50 = 515,470.50 : x
  2. Step 2: Convert to fraction form
    332,280/515,470.50 = 515,470.50/x
  3. Step 3: Cross multiply
    332,280x = 515,470.50 × 515,470.50
  4. Step 4: Simplify right side
    332,280x = 265,709,836,370.25
  5. Step 5: Solve for x
    x = 265,709,836,370.25/332,280
  6. Step 6: Final answer
    x = 799,656.42

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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.