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Finding the Third Proportional to 318,242 and 446,115

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Solution

The third proportional to 318,242 and 446,115 is: 625,368.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,242 : 446,115 = 446,115 : x
  2. Step 2: Convert to fraction form
    318,242/446,115 = 446,115/x
  3. Step 3: Cross multiply
    318,242x = 446,115 × 446,115
  4. Step 4: Simplify right side
    318,242x = 199,018,593,225
  5. Step 5: Solve for x
    x = 199,018,593,225/318,242
  6. Step 6: Final answer
    x = 625,368.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.