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Finding the Third Proportional to 263,436 and 407,520

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Solution

The third proportional to 263,436 and 407,520 is: 630,409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,436 : 407,520 = 407,520 : x
  2. Step 2: Convert to fraction form
    263,436/407,520 = 407,520/x
  3. Step 3: Cross multiply
    263,436x = 407,520 × 407,520
  4. Step 4: Simplify right side
    263,436x = 166,072,550,400
  5. Step 5: Solve for x
    x = 166,072,550,400/263,436
  6. Step 6: Final answer
    x = 630,409.47

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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.