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Finding the Third Proportional to 298,940.50 and 453,946.75

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Solution

The third proportional to 298,940.50 and 453,946.75 is: 689,326.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,940.50 : 453,946.75 = 453,946.75 : x
  2. Step 2: Convert to fraction form
    298,940.50/453,946.75 = 453,946.75/x
  3. Step 3: Cross multiply
    298,940.50x = 453,946.75 × 453,946.75
  4. Step 4: Simplify right side
    298,940.50x = 206,067,651,835.56
  5. Step 5: Solve for x
    x = 206,067,651,835.56/298,940.50
  6. Step 6: Final answer
    x = 689,326.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.