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Finding the Third Proportional to 214,128 and 461,144

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Solution

The third proportional to 214,128 and 461,144 is: 993,115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,128 : 461,144 = 461,144 : x
  2. Step 2: Convert to fraction form
    214,128/461,144 = 461,144/x
  3. Step 3: Cross multiply
    214,128x = 461,144 × 461,144
  4. Step 4: Simplify right side
    214,128x = 212,653,788,736
  5. Step 5: Solve for x
    x = 212,653,788,736/214,128
  6. Step 6: Final answer
    x = 993,115.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.