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Finding the Third Proportional to 328,993 and 495,921

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Solution

The third proportional to 328,993 and 495,921 is: 747,546.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,993 : 495,921 = 495,921 : x
  2. Step 2: Convert to fraction form
    328,993/495,921 = 495,921/x
  3. Step 3: Cross multiply
    328,993x = 495,921 × 495,921
  4. Step 4: Simplify right side
    328,993x = 245,937,638,241
  5. Step 5: Solve for x
    x = 245,937,638,241/328,993
  6. Step 6: Final answer
    x = 747,546.72

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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.