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Finding the Third Proportional to 263,654 and 408,587

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Solution

The third proportional to 263,654 and 408,587 is: 633,190.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,654 : 408,587 = 408,587 : x
  2. Step 2: Convert to fraction form
    263,654/408,587 = 408,587/x
  3. Step 3: Cross multiply
    263,654x = 408,587 × 408,587
  4. Step 4: Simplify right side
    263,654x = 166,943,336,569
  5. Step 5: Solve for x
    x = 166,943,336,569/263,654
  6. Step 6: Final answer
    x = 633,190.99

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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.