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Finding the Third Proportional to 106,218 and 217,335

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Solution

The third proportional to 106,218 and 217,335 is: 444,693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,218 : 217,335 = 217,335 : x
  2. Step 2: Convert to fraction form
    106,218/217,335 = 217,335/x
  3. Step 3: Cross multiply
    106,218x = 217,335 × 217,335
  4. Step 4: Simplify right side
    106,218x = 47,234,502,225
  5. Step 5: Solve for x
    x = 47,234,502,225/106,218
  6. Step 6: Final answer
    x = 444,693.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.