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Finding the Third Proportional to 328,963 and 495,875

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Solution

The third proportional to 328,963 and 495,875 is: 747,476.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,963 : 495,875 = 495,875 : x
  2. Step 2: Convert to fraction form
    328,963/495,875 = 495,875/x
  3. Step 3: Cross multiply
    328,963x = 495,875 × 495,875
  4. Step 4: Simplify right side
    328,963x = 245,892,015,625
  5. Step 5: Solve for x
    x = 245,892,015,625/328,963
  6. Step 6: Final answer
    x = 747,476.21

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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.