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Finding the Third Proportional to 646,899 and 926,311

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Solution

The third proportional to 646,899 and 926,311 is: 1,326,408.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,899 : 926,311 = 926,311 : x
  2. Step 2: Convert to fraction form
    646,899/926,311 = 926,311/x
  3. Step 3: Cross multiply
    646,899x = 926,311 × 926,311
  4. Step 4: Simplify right side
    646,899x = 858,052,068,721
  5. Step 5: Solve for x
    x = 858,052,068,721/646,899
  6. Step 6: Final answer
    x = 1,326,408.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.