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Finding the Third Proportional to 836,622 and 1,292,721

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Solution

The third proportional to 836,622 and 1,292,721 is: 1,997,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,622 : 1,292,721 = 1,292,721 : x
  2. Step 2: Convert to fraction form
    836,622/1,292,721 = 1,292,721/x
  3. Step 3: Cross multiply
    836,622x = 1,292,721 × 1,292,721
  4. Step 4: Simplify right side
    836,622x = 1,671,127,583,841
  5. Step 5: Solve for x
    x = 1,671,127,583,841/836,622
  6. Step 6: Final answer
    x = 1,997,470.28

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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.