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Finding the Third Proportional to 128,796.75 and 279,772.31

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Solution

The third proportional to 128,796.75 and 279,772.31 is: 607,721.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,796.75 : 279,772.31 = 279,772.31 : x
  2. Step 2: Convert to fraction form
    128,796.75/279,772.31 = 279,772.31/x
  3. Step 3: Cross multiply
    128,796.75x = 279,772.31 × 279,772.31
  4. Step 4: Simplify right side
    128,796.75x = 78,272,546,841.60
  5. Step 5: Solve for x
    x = 78,272,546,841.60/128,796.75
  6. Step 6: Final answer
    x = 607,721.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.