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Finding the Third Proportional to 71,543 and 141,284

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Solution

The third proportional to 71,543 and 141,284 is: 279,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,543 : 141,284 = 141,284 : x
  2. Step 2: Convert to fraction form
    71,543/141,284 = 141,284/x
  3. Step 3: Cross multiply
    71,543x = 141,284 × 141,284
  4. Step 4: Simplify right side
    71,543x = 19,961,168,656
  5. Step 5: Solve for x
    x = 19,961,168,656/71,543
  6. Step 6: Final answer
    x = 279,009.39

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.