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Finding the Third Proportional to 21,880 and 47,998

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Solution

The third proportional to 21,880 and 47,998 is: 105,292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,880 : 47,998 = 47,998 : x
  2. Step 2: Convert to fraction form
    21,880/47,998 = 47,998/x
  3. Step 3: Cross multiply
    21,880x = 47,998 × 47,998
  4. Step 4: Simplify right side
    21,880x = 2,303,808,004
  5. Step 5: Solve for x
    x = 2,303,808,004/21,880
  6. Step 6: Final answer
    x = 105,292.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.