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Finding the Third Proportional to 384,807.38 and 579,519.56

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Solution

The third proportional to 384,807.38 and 579,519.56 is: 872,755.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,807.38 : 579,519.56 = 579,519.56 : x
  2. Step 2: Convert to fraction form
    384,807.38/579,519.56 = 579,519.56/x
  3. Step 3: Cross multiply
    384,807.38x = 579,519.56 × 579,519.56
  4. Step 4: Simplify right side
    384,807.38x = 335,842,923,320.19
  5. Step 5: Solve for x
    x = 335,842,923,320.19/384,807.38
  6. Step 6: Final answer
    x = 872,755.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.