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Finding the Third Proportional to 389,223 and 838,440

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Solution

The third proportional to 389,223 and 838,440 is: 1,806,115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,223 : 838,440 = 838,440 : x
  2. Step 2: Convert to fraction form
    389,223/838,440 = 838,440/x
  3. Step 3: Cross multiply
    389,223x = 838,440 × 838,440
  4. Step 4: Simplify right side
    389,223x = 702,981,633,600
  5. Step 5: Solve for x
    x = 702,981,633,600/389,223
  6. Step 6: Final answer
    x = 1,806,115.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.