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Finding the Third Proportional to 269,796.38 and 389,777.63

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Solution

The third proportional to 269,796.38 and 389,777.63 is: 563,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,796.38 : 389,777.63 = 389,777.63 : x
  2. Step 2: Convert to fraction form
    269,796.38/389,777.63 = 389,777.63/x
  3. Step 3: Cross multiply
    269,796.38x = 389,777.63 × 389,777.63
  4. Step 4: Simplify right side
    269,796.38x = 151,926,596,950.64
  5. Step 5: Solve for x
    x = 151,926,596,950.64/269,796.38
  6. Step 6: Final answer
    x = 563,115.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.