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Finding the Third Proportional to 328,768 and 495,042

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Solution

The third proportional to 328,768 and 495,042 is: 745,408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,768 : 495,042 = 495,042 : x
  2. Step 2: Convert to fraction form
    328,768/495,042 = 495,042/x
  3. Step 3: Cross multiply
    328,768x = 495,042 × 495,042
  4. Step 4: Simplify right side
    328,768x = 245,066,581,764
  5. Step 5: Solve for x
    x = 245,066,581,764/328,768
  6. Step 6: Final answer
    x = 745,408.87

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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.