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Finding the Third Proportional to 214,628 and 291,493

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Solution

The third proportional to 214,628 and 291,493 is: 395,885.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,628 : 291,493 = 291,493 : x
  2. Step 2: Convert to fraction form
    214,628/291,493 = 291,493/x
  3. Step 3: Cross multiply
    214,628x = 291,493 × 291,493
  4. Step 4: Simplify right side
    214,628x = 84,968,169,049
  5. Step 5: Solve for x
    x = 84,968,169,049/214,628
  6. Step 6: Final answer
    x = 395,885.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.