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Finding the Third Proportional to 263,199.38 and 407,366.72

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Solution

The third proportional to 263,199.38 and 407,366.72 is: 630,501.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,199.38 : 407,366.72 = 407,366.72 : x
  2. Step 2: Convert to fraction form
    263,199.38/407,366.72 = 407,366.72/x
  3. Step 3: Cross multiply
    263,199.38x = 407,366.72 × 407,366.72
  4. Step 4: Simplify right side
    263,199.38x = 165,947,643,545.14
  5. Step 5: Solve for x
    x = 165,947,643,545.14/263,199.38
  6. Step 6: Final answer
    x = 630,501.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.