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Finding the Third Proportional to 141,339 and 215,881

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Solution

The third proportional to 141,339 and 215,881 is: 329,736.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,339 : 215,881 = 215,881 : x
  2. Step 2: Convert to fraction form
    141,339/215,881 = 215,881/x
  3. Step 3: Cross multiply
    141,339x = 215,881 × 215,881
  4. Step 4: Simplify right side
    141,339x = 46,604,606,161
  5. Step 5: Solve for x
    x = 46,604,606,161/141,339
  6. Step 6: Final answer
    x = 329,736.35

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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.