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Finding the Third Proportional to 141,220 and 216,339

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Solution

The third proportional to 141,220 and 216,339 is: 331,415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,220 : 216,339 = 216,339 : x
  2. Step 2: Convert to fraction form
    141,220/216,339 = 216,339/x
  3. Step 3: Cross multiply
    141,220x = 216,339 × 216,339
  4. Step 4: Simplify right side
    141,220x = 46,802,562,921
  5. Step 5: Solve for x
    x = 46,802,562,921/141,220
  6. Step 6: Final answer
    x = 331,415.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.