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Finding the Third Proportional to 144,660 and 216,218

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Solution

The third proportional to 144,660 and 216,218 is: 323,173.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,660 : 216,218 = 216,218 : x
  2. Step 2: Convert to fraction form
    144,660/216,218 = 216,218/x
  3. Step 3: Cross multiply
    144,660x = 216,218 × 216,218
  4. Step 4: Simplify right side
    144,660x = 46,750,223,524
  5. Step 5: Solve for x
    x = 46,750,223,524/144,660
  6. Step 6: Final answer
    x = 323,173.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.