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Finding the Third Proportional to 128,216 and 279,008

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Solution

The third proportional to 128,216 and 279,008 is: 607,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,216 : 279,008 = 279,008 : x
  2. Step 2: Convert to fraction form
    128,216/279,008 = 279,008/x
  3. Step 3: Cross multiply
    128,216x = 279,008 × 279,008
  4. Step 4: Simplify right side
    128,216x = 77,845,464,064
  5. Step 5: Solve for x
    x = 77,845,464,064/128,216
  6. Step 6: Final answer
    x = 607,143.13

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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.