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Finding the Third Proportional to 336,853.69 and 495,418.78

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Solution

The third proportional to 336,853.69 and 495,418.78 is: 728,624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,853.69 : 495,418.78 = 495,418.78 : x
  2. Step 2: Convert to fraction form
    336,853.69/495,418.78 = 495,418.78/x
  3. Step 3: Cross multiply
    336,853.69x = 495,418.78 × 495,418.78
  4. Step 4: Simplify right side
    336,853.69x = 245,439,768,815.24
  5. Step 5: Solve for x
    x = 245,439,768,815.24/336,853.69
  6. Step 6: Final answer
    x = 728,624.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.