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Finding the Third Proportional to 263,889 and 553,698

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Solution

The third proportional to 263,889 and 553,698 is: 1,161,781.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,889 : 553,698 = 553,698 : x
  2. Step 2: Convert to fraction form
    263,889/553,698 = 553,698/x
  3. Step 3: Cross multiply
    263,889x = 553,698 × 553,698
  4. Step 4: Simplify right side
    263,889x = 306,581,475,204
  5. Step 5: Solve for x
    x = 306,581,475,204/263,889
  6. Step 6: Final answer
    x = 1,161,781.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.