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Finding the Third Proportional to 85,408 and 124,820

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Solution

The third proportional to 85,408 and 124,820 is: 182,418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,408 : 124,820 = 124,820 : x
  2. Step 2: Convert to fraction form
    85,408/124,820 = 124,820/x
  3. Step 3: Cross multiply
    85,408x = 124,820 × 124,820
  4. Step 4: Simplify right side
    85,408x = 15,580,032,400
  5. Step 5: Solve for x
    x = 15,580,032,400/85,408
  6. Step 6: Final answer
    x = 182,418.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.