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Finding the Third Proportional to 278,277.19 and 566,272.69

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Solution

The third proportional to 278,277.19 and 566,272.69 is: 1,152,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,277.19 : 566,272.69 = 566,272.69 : x
  2. Step 2: Convert to fraction form
    278,277.19/566,272.69 = 566,272.69/x
  3. Step 3: Cross multiply
    278,277.19x = 566,272.69 × 566,272.69
  4. Step 4: Simplify right side
    278,277.19x = 320,664,756,608.47
  5. Step 5: Solve for x
    x = 320,664,756,608.47/278,277.19
  6. Step 6: Final answer
    x = 1,152,321.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.