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Finding the Third Proportional to 298,845 and 457,348.50

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Solution

The third proportional to 298,845 and 457,348.50 is: 699,920.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,845 : 457,348.50 = 457,348.50 : x
  2. Step 2: Convert to fraction form
    298,845/457,348.50 = 457,348.50/x
  3. Step 3: Cross multiply
    298,845x = 457,348.50 × 457,348.50
  4. Step 4: Simplify right side
    298,845x = 209,167,650,452.25
  5. Step 5: Solve for x
    x = 209,167,650,452.25/298,845
  6. Step 6: Final answer
    x = 699,920.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.