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Finding the Third Proportional to 328,764 and 495,036

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Solution

The third proportional to 328,764 and 495,036 is: 745,399.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,764 : 495,036 = 495,036 : x
  2. Step 2: Convert to fraction form
    328,764/495,036 = 495,036/x
  3. Step 3: Cross multiply
    328,764x = 495,036 × 495,036
  4. Step 4: Simplify right side
    328,764x = 245,060,641,296
  5. Step 5: Solve for x
    x = 245,060,641,296/328,764
  6. Step 6: Final answer
    x = 745,399.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.