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Finding the Third Proportional to 328,433.50 and 498,818.50

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Solution

The third proportional to 328,433.50 and 498,818.50 is: 757,595.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,433.50 : 498,818.50 = 498,818.50 : x
  2. Step 2: Convert to fraction form
    328,433.50/498,818.50 = 498,818.50/x
  3. Step 3: Cross multiply
    328,433.50x = 498,818.50 × 498,818.50
  4. Step 4: Simplify right side
    328,433.50x = 248,819,895,942.25
  5. Step 5: Solve for x
    x = 248,819,895,942.25/328,433.50
  6. Step 6: Final answer
    x = 757,595.97

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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.