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Finding the Third Proportional to 47,863 and 68,509

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Solution

The third proportional to 47,863 and 68,509 is: 98,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,863 : 68,509 = 68,509 : x
  2. Step 2: Convert to fraction form
    47,863/68,509 = 68,509/x
  3. Step 3: Cross multiply
    47,863x = 68,509 × 68,509
  4. Step 4: Simplify right side
    47,863x = 4,693,483,081
  5. Step 5: Solve for x
    x = 4,693,483,081/47,863
  6. Step 6: Final answer
    x = 98,060.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.