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Finding the Third Proportional to 214,120 and 461,128

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Solution

The third proportional to 214,120 and 461,128 is: 993,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,120 : 461,128 = 461,128 : x
  2. Step 2: Convert to fraction form
    214,120/461,128 = 461,128/x
  3. Step 3: Cross multiply
    214,120x = 461,128 × 461,128
  4. Step 4: Simplify right side
    214,120x = 212,639,032,384
  5. Step 5: Solve for x
    x = 212,639,032,384/214,120
  6. Step 6: Final answer
    x = 993,083.47

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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.