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Finding the Third Proportional to 338,759 and 495,415

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Solution

The third proportional to 338,759 and 495,415 is: 724,515.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,759 : 495,415 = 495,415 : x
  2. Step 2: Convert to fraction form
    338,759/495,415 = 495,415/x
  3. Step 3: Cross multiply
    338,759x = 495,415 × 495,415
  4. Step 4: Simplify right side
    338,759x = 245,436,022,225
  5. Step 5: Solve for x
    x = 245,436,022,225/338,759
  6. Step 6: Final answer
    x = 724,515.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.