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Finding the Third Proportional to 421,409.25 and 910,153.97

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Solution

The third proportional to 421,409.25 and 910,153.97 is: 1,965,738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,409.25 : 910,153.97 = 910,153.97 : x
  2. Step 2: Convert to fraction form
    421,409.25/910,153.97 = 910,153.97/x
  3. Step 3: Cross multiply
    421,409.25x = 910,153.97 × 910,153.97
  4. Step 4: Simplify right side
    421,409.25x = 828,380,246,831.38
  5. Step 5: Solve for x
    x = 828,380,246,831.38/421,409.25
  6. Step 6: Final answer
    x = 1,965,738.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.