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Finding the Third Proportional to 234,958.50 and 378,317.53

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Solution

The third proportional to 234,958.50 and 378,317.53 is: 609,146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,958.50 : 378,317.53 = 378,317.53 : x
  2. Step 2: Convert to fraction form
    234,958.50/378,317.53 = 378,317.53/x
  3. Step 3: Cross multiply
    234,958.50x = 378,317.53 × 378,317.53
  4. Step 4: Simplify right side
    234,958.50x = 143,124,154,451.10
  5. Step 5: Solve for x
    x = 143,124,154,451.10/234,958.50
  6. Step 6: Final answer
    x = 609,146.53

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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.