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Finding the Third Proportional to 391,408.27 and 606,051.30

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Solution

The third proportional to 391,408.27 and 606,051.30 is: 938,401.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,408.27 : 606,051.30 = 606,051.30 : x
  2. Step 2: Convert to fraction form
    391,408.27/606,051.30 = 606,051.30/x
  3. Step 3: Cross multiply
    391,408.27x = 606,051.30 × 606,051.30
  4. Step 4: Simplify right side
    391,408.27x = 367,298,183,913.42
  5. Step 5: Solve for x
    x = 367,298,183,913.42/391,408.27
  6. Step 6: Final answer
    x = 938,401.71

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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.