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Finding the Third Proportional to 21,273 and 45,705

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Solution

The third proportional to 21,273 and 45,705 is: 98,197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,273 : 45,705 = 45,705 : x
  2. Step 2: Convert to fraction form
    21,273/45,705 = 45,705/x
  3. Step 3: Cross multiply
    21,273x = 45,705 × 45,705
  4. Step 4: Simplify right side
    21,273x = 2,088,947,025
  5. Step 5: Solve for x
    x = 2,088,947,025/21,273
  6. Step 6: Final answer
    x = 98,197.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.