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Finding the Third Proportional to 105,712.50 and 221,805

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Solution

The third proportional to 105,712.50 and 221,805 is: 465,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,712.50 : 221,805 = 221,805 : x
  2. Step 2: Convert to fraction form
    105,712.50/221,805 = 221,805/x
  3. Step 3: Cross multiply
    105,712.50x = 221,805 × 221,805
  4. Step 4: Simplify right side
    105,712.50x = 49,197,458,025
  5. Step 5: Solve for x
    x = 49,197,458,025/105,712.50
  6. Step 6: Final answer
    x = 465,389.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.