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Finding the Third Proportional to 397,364 and 868,492

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Solution

The third proportional to 397,364 and 868,492 is: 1,898,205.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,364 : 868,492 = 868,492 : x
  2. Step 2: Convert to fraction form
    397,364/868,492 = 868,492/x
  3. Step 3: Cross multiply
    397,364x = 868,492 × 868,492
  4. Step 4: Simplify right side
    397,364x = 754,278,354,064
  5. Step 5: Solve for x
    x = 754,278,354,064/397,364
  6. Step 6: Final answer
    x = 1,898,205.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.