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Finding the Third Proportional to 128,222 and 279,019

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Solution

The third proportional to 128,222 and 279,019 is: 607,162.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,222 : 279,019 = 279,019 : x
  2. Step 2: Convert to fraction form
    128,222/279,019 = 279,019/x
  3. Step 3: Cross multiply
    128,222x = 279,019 × 279,019
  4. Step 4: Simplify right side
    128,222x = 77,851,602,361
  5. Step 5: Solve for x
    x = 77,851,602,361/128,222
  6. Step 6: Final answer
    x = 607,162.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.