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Finding the Third Proportional to 836,638 and 1,292,747

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Solution

The third proportional to 836,638 and 1,292,747 is: 1,997,512.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,638 : 1,292,747 = 1,292,747 : x
  2. Step 2: Convert to fraction form
    836,638/1,292,747 = 1,292,747/x
  3. Step 3: Cross multiply
    836,638x = 1,292,747 × 1,292,747
  4. Step 4: Simplify right side
    836,638x = 1,671,194,806,009
  5. Step 5: Solve for x
    x = 1,671,194,806,009/836,638
  6. Step 6: Final answer
    x = 1,997,512.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.