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Finding the Third Proportional to 118,284.50 and 271,471

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Solution

The third proportional to 118,284.50 and 271,471 is: 623,044.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,284.50 : 271,471 = 271,471 : x
  2. Step 2: Convert to fraction form
    118,284.50/271,471 = 271,471/x
  3. Step 3: Cross multiply
    118,284.50x = 271,471 × 271,471
  4. Step 4: Simplify right side
    118,284.50x = 73,696,503,841
  5. Step 5: Solve for x
    x = 73,696,503,841/118,284.50
  6. Step 6: Final answer
    x = 623,044.47

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.