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Finding the Third Proportional to 263,548.50 and 577,884

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Solution

The third proportional to 263,548.50 and 577,884 is: 1,267,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,548.50 : 577,884 = 577,884 : x
  2. Step 2: Convert to fraction form
    263,548.50/577,884 = 577,884/x
  3. Step 3: Cross multiply
    263,548.50x = 577,884 × 577,884
  4. Step 4: Simplify right side
    263,548.50x = 333,949,917,456
  5. Step 5: Solve for x
    x = 333,949,917,456/263,548.50
  6. Step 6: Final answer
    x = 1,267,128.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.