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Finding the Third Proportional to 538,920 and 845,408

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Solution

The third proportional to 538,920 and 845,408 is: 1,326,198.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,920 : 845,408 = 845,408 : x
  2. Step 2: Convert to fraction form
    538,920/845,408 = 845,408/x
  3. Step 3: Cross multiply
    538,920x = 845,408 × 845,408
  4. Step 4: Simplify right side
    538,920x = 714,714,686,464
  5. Step 5: Solve for x
    x = 714,714,686,464/538,920
  6. Step 6: Final answer
    x = 1,326,198.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.