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Finding the Third Proportional to 215,408 and 357,762

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Solution

The third proportional to 215,408 and 357,762 is: 594,191.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,408 : 357,762 = 357,762 : x
  2. Step 2: Convert to fraction form
    215,408/357,762 = 357,762/x
  3. Step 3: Cross multiply
    215,408x = 357,762 × 357,762
  4. Step 4: Simplify right side
    215,408x = 127,993,648,644
  5. Step 5: Solve for x
    x = 127,993,648,644/215,408
  6. Step 6: Final answer
    x = 594,191.71

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.