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Finding the Third Proportional to 128,878 and 279,896

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Solution

The third proportional to 128,878 and 279,896 is: 607,875.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,878 : 279,896 = 279,896 : x
  2. Step 2: Convert to fraction form
    128,878/279,896 = 279,896/x
  3. Step 3: Cross multiply
    128,878x = 279,896 × 279,896
  4. Step 4: Simplify right side
    128,878x = 78,341,770,816
  5. Step 5: Solve for x
    x = 78,341,770,816/128,878
  6. Step 6: Final answer
    x = 607,875.44

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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.