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Finding the Third Proportional to 21,346.50 and 51,705

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Solution

The third proportional to 21,346.50 and 51,705 is: 125,238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,346.50 : 51,705 = 51,705 : x
  2. Step 2: Convert to fraction form
    21,346.50/51,705 = 51,705/x
  3. Step 3: Cross multiply
    21,346.50x = 51,705 × 51,705
  4. Step 4: Simplify right side
    21,346.50x = 2,673,407,025
  5. Step 5: Solve for x
    x = 2,673,407,025/21,346.50
  6. Step 6: Final answer
    x = 125,238.66

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.