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Finding the Third Proportional to 538,791 and 828,408

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Solution

The third proportional to 538,791 and 828,408 is: 1,273,703.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,791 : 828,408 = 828,408 : x
  2. Step 2: Convert to fraction form
    538,791/828,408 = 828,408/x
  3. Step 3: Cross multiply
    538,791x = 828,408 × 828,408
  4. Step 4: Simplify right side
    538,791x = 686,259,814,464
  5. Step 5: Solve for x
    x = 686,259,814,464/538,791
  6. Step 6: Final answer
    x = 1,273,703.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.