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Finding the Third Proportional to 298,851.75 and 457,359.75

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Solution

The third proportional to 298,851.75 and 457,359.75 is: 699,938.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,851.75 : 457,359.75 = 457,359.75 : x
  2. Step 2: Convert to fraction form
    298,851.75/457,359.75 = 457,359.75/x
  3. Step 3: Cross multiply
    298,851.75x = 457,359.75 × 457,359.75
  4. Step 4: Simplify right side
    298,851.75x = 209,177,940,920.06
  5. Step 5: Solve for x
    x = 209,177,940,920.06/298,851.75
  6. Step 6: Final answer
    x = 699,938.82

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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.