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Finding the Third Proportional to 338,758 and 495,414

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Solution

The third proportional to 338,758 and 495,414 is: 724,514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,758 : 495,414 = 495,414 : x
  2. Step 2: Convert to fraction form
    338,758/495,414 = 495,414/x
  3. Step 3: Cross multiply
    338,758x = 495,414 × 495,414
  4. Step 4: Simplify right side
    338,758x = 245,435,031,396
  5. Step 5: Solve for x
    x = 245,435,031,396/338,758
  6. Step 6: Final answer
    x = 724,514.35

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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.