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Finding the Third Proportional to 315,068 and 478,427

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Solution

The third proportional to 315,068 and 478,427 is: 726,485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,068 : 478,427 = 478,427 : x
  2. Step 2: Convert to fraction form
    315,068/478,427 = 478,427/x
  3. Step 3: Cross multiply
    315,068x = 478,427 × 478,427
  4. Step 4: Simplify right side
    315,068x = 228,892,394,329
  5. Step 5: Solve for x
    x = 228,892,394,329/315,068
  6. Step 6: Final answer
    x = 726,485.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.