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Finding the Third Proportional to 284,408 and 428,416

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Solution

The third proportional to 284,408 and 428,416 is: 645,341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,408 : 428,416 = 428,416 : x
  2. Step 2: Convert to fraction form
    284,408/428,416 = 428,416/x
  3. Step 3: Cross multiply
    284,408x = 428,416 × 428,416
  4. Step 4: Simplify right side
    284,408x = 183,540,269,056
  5. Step 5: Solve for x
    x = 183,540,269,056/284,408
  6. Step 6: Final answer
    x = 645,341.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.