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Finding the Third Proportional to 280,395.38 and 611,542.31

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Solution

The third proportional to 280,395.38 and 611,542.31 is: 1,333,773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,395.38 : 611,542.31 = 611,542.31 : x
  2. Step 2: Convert to fraction form
    280,395.38/611,542.31 = 611,542.31/x
  3. Step 3: Cross multiply
    280,395.38x = 611,542.31 × 611,542.31
  4. Step 4: Simplify right side
    280,395.38x = 373,983,999,977.85
  5. Step 5: Solve for x
    x = 373,983,999,977.85/280,395.38
  6. Step 6: Final answer
    x = 1,333,773.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.