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Finding the Third Proportional to 141,218 and 216,336

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Solution

The third proportional to 141,218 and 216,336 is: 331,411.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,218 : 216,336 = 216,336 : x
  2. Step 2: Convert to fraction form
    141,218/216,336 = 216,336/x
  3. Step 3: Cross multiply
    141,218x = 216,336 × 216,336
  4. Step 4: Simplify right side
    141,218x = 46,801,264,896
  5. Step 5: Solve for x
    x = 46,801,264,896/141,218
  6. Step 6: Final answer
    x = 331,411.47

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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.