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Finding the Third Proportional to 278,586.21 and 610,574.52

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Solution

The third proportional to 278,586.21 and 610,574.52 is: 1,338,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,586.21 : 610,574.52 = 610,574.52 : x
  2. Step 2: Convert to fraction form
    278,586.21/610,574.52 = 610,574.52/x
  3. Step 3: Cross multiply
    278,586.21x = 610,574.52 × 610,574.52
  4. Step 4: Simplify right side
    278,586.21x = 372,801,243,900.82
  5. Step 5: Solve for x
    x = 372,801,243,900.82/278,586.21
  6. Step 6: Final answer
    x = 1,338,189.86

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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.