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Finding the Third Proportional to 200,664 and 315,348

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Solution

The third proportional to 200,664 and 315,348 is: 495,576.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,664 : 315,348 = 315,348 : x
  2. Step 2: Convert to fraction form
    200,664/315,348 = 315,348/x
  3. Step 3: Cross multiply
    200,664x = 315,348 × 315,348
  4. Step 4: Simplify right side
    200,664x = 99,444,361,104
  5. Step 5: Solve for x
    x = 99,444,361,104/200,664
  6. Step 6: Final answer
    x = 495,576.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.