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Finding the Third Proportional to 270,633.66 and 378,362.81

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Solution

The third proportional to 270,633.66 and 378,362.81 is: 528,974.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,633.66 : 378,362.81 = 378,362.81 : x
  2. Step 2: Convert to fraction form
    270,633.66/378,362.81 = 378,362.81/x
  3. Step 3: Cross multiply
    270,633.66x = 378,362.81 × 378,362.81
  4. Step 4: Simplify right side
    270,633.66x = 143,158,417,882.91
  5. Step 5: Solve for x
    x = 143,158,417,882.91/270,633.66
  6. Step 6: Final answer
    x = 528,974.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.