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Finding the Third Proportional to 336,853.69 and 492,138.28

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Solution

The third proportional to 336,853.69 and 492,138.28 is: 719,006.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,853.69 : 492,138.28 = 492,138.28 : x
  2. Step 2: Convert to fraction form
    336,853.69/492,138.28 = 492,138.28/x
  3. Step 3: Cross multiply
    336,853.69x = 492,138.28 × 492,138.28
  4. Step 4: Simplify right side
    336,853.69x = 242,200,087,871.70
  5. Step 5: Solve for x
    x = 242,200,087,871.70/336,853.69
  6. Step 6: Final answer
    x = 719,006.79

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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.