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Finding the Third Proportional to 354,676 and 478,518

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Solution

The third proportional to 354,676 and 478,518 is: 645,601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,676 : 478,518 = 478,518 : x
  2. Step 2: Convert to fraction form
    354,676/478,518 = 478,518/x
  3. Step 3: Cross multiply
    354,676x = 478,518 × 478,518
  4. Step 4: Simplify right side
    354,676x = 228,979,476,324
  5. Step 5: Solve for x
    x = 228,979,476,324/354,676
  6. Step 6: Final answer
    x = 645,601.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.