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Finding the Third Proportional to 234,957 and 378,315.28

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Solution

The third proportional to 234,957 and 378,315.28 is: 609,143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,957 : 378,315.28 = 378,315.28 : x
  2. Step 2: Convert to fraction form
    234,957/378,315.28 = 378,315.28/x
  3. Step 3: Cross multiply
    234,957x = 378,315.28 × 378,315.28
  4. Step 4: Simplify right side
    234,957x = 143,122,452,027.27
  5. Step 5: Solve for x
    x = 143,122,452,027.27/234,957
  6. Step 6: Final answer
    x = 609,143.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.