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Finding the Third Proportional to 128,218 and 296,836

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Solution

The third proportional to 128,218 and 296,836 is: 687,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,218 : 296,836 = 296,836 : x
  2. Step 2: Convert to fraction form
    128,218/296,836 = 296,836/x
  3. Step 3: Cross multiply
    128,218x = 296,836 × 296,836
  4. Step 4: Simplify right side
    128,218x = 88,111,610,896
  5. Step 5: Solve for x
    x = 88,111,610,896/128,218
  6. Step 6: Final answer
    x = 687,201.57

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.