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Finding the Third Proportional to 255,990.38 and 557,912.81

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Solution

The third proportional to 255,990.38 and 557,912.81 is: 1,215,931.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,990.38 : 557,912.81 = 557,912.81 : x
  2. Step 2: Convert to fraction form
    255,990.38/557,912.81 = 557,912.81/x
  3. Step 3: Cross multiply
    255,990.38x = 557,912.81 × 557,912.81
  4. Step 4: Simplify right side
    255,990.38x = 311,266,706,351.66
  5. Step 5: Solve for x
    x = 311,266,706,351.66/255,990.38
  6. Step 6: Final answer
    x = 1,215,931.29

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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.