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Finding the Third Proportional to 208,986 and 332,125.50

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Solution

The third proportional to 208,986 and 332,125.50 is: 527,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,986 : 332,125.50 = 332,125.50 : x
  2. Step 2: Convert to fraction form
    208,986/332,125.50 = 332,125.50/x
  3. Step 3: Cross multiply
    208,986x = 332,125.50 × 332,125.50
  4. Step 4: Simplify right side
    208,986x = 110,307,347,750.25
  5. Step 5: Solve for x
    x = 110,307,347,750.25/208,986
  6. Step 6: Final answer
    x = 527,821.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.