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Finding the Third Proportional to 128,218 and 212,810

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Solution

The third proportional to 128,218 and 212,810 is: 353,211.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,218 : 212,810 = 212,810 : x
  2. Step 2: Convert to fraction form
    128,218/212,810 = 212,810/x
  3. Step 3: Cross multiply
    128,218x = 212,810 × 212,810
  4. Step 4: Simplify right side
    128,218x = 45,288,096,100
  5. Step 5: Solve for x
    x = 45,288,096,100/128,218
  6. Step 6: Final answer
    x = 353,211.69

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.