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Finding the Third Proportional to 377,682.75 and 815,686.88

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Solution

The third proportional to 377,682.75 and 815,686.88 is: 1,761,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,682.75 : 815,686.88 = 815,686.88 : x
  2. Step 2: Convert to fraction form
    377,682.75/815,686.88 = 815,686.88/x
  3. Step 3: Cross multiply
    377,682.75x = 815,686.88 × 815,686.88
  4. Step 4: Simplify right side
    377,682.75x = 665,345,078,047.27
  5. Step 5: Solve for x
    x = 665,345,078,047.27/377,682.75
  6. Step 6: Final answer
    x = 1,761,650.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.