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Finding the Third Proportional to 421,908.43 and 909,787.57

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Solution

The third proportional to 421,908.43 and 909,787.57 is: 1,961,831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,908.43 : 909,787.57 = 909,787.57 : x
  2. Step 2: Convert to fraction form
    421,908.43/909,787.57 = 909,787.57/x
  3. Step 3: Cross multiply
    421,908.43x = 909,787.57 × 909,787.57
  4. Step 4: Simplify right side
    421,908.43x = 827,713,423,095.12
  5. Step 5: Solve for x
    x = 827,713,423,095.12/421,908.43
  6. Step 6: Final answer
    x = 1,961,831.90

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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.