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Finding the Third Proportional to 47,847 and 68,490

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Solution

The third proportional to 47,847 and 68,490 is: 98,039.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,847 : 68,490 = 68,490 : x
  2. Step 2: Convert to fraction form
    47,847/68,490 = 68,490/x
  3. Step 3: Cross multiply
    47,847x = 68,490 × 68,490
  4. Step 4: Simplify right side
    47,847x = 4,690,880,100
  5. Step 5: Solve for x
    x = 4,690,880,100/47,847
  6. Step 6: Final answer
    x = 98,039.17

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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.