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Finding the Third Proportional to 21,981 and 46,578

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Solution

The third proportional to 21,981 and 46,578 is: 98,699.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,981 : 46,578 = 46,578 : x
  2. Step 2: Convert to fraction form
    21,981/46,578 = 46,578/x
  3. Step 3: Cross multiply
    21,981x = 46,578 × 46,578
  4. Step 4: Simplify right side
    21,981x = 2,169,510,084
  5. Step 5: Solve for x
    x = 2,169,510,084/21,981
  6. Step 6: Final answer
    x = 98,699.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.