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Finding the Third Proportional to 234,961 and 378,321

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Solution

The third proportional to 234,961 and 378,321 is: 609,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,961 : 378,321 = 378,321 : x
  2. Step 2: Convert to fraction form
    234,961/378,321 = 378,321/x
  3. Step 3: Cross multiply
    234,961x = 378,321 × 378,321
  4. Step 4: Simplify right side
    234,961x = 143,126,779,041
  5. Step 5: Solve for x
    x = 143,126,779,041/234,961
  6. Step 6: Final answer
    x = 609,151.22

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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.