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Finding the Third Proportional to 315,197 and 478,625

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Solution

The third proportional to 315,197 and 478,625 is: 726,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,197 : 478,625 = 478,625 : x
  2. Step 2: Convert to fraction form
    315,197/478,625 = 478,625/x
  3. Step 3: Cross multiply
    315,197x = 478,625 × 478,625
  4. Step 4: Simplify right side
    315,197x = 229,081,890,625
  5. Step 5: Solve for x
    x = 229,081,890,625/315,197
  6. Step 6: Final answer
    x = 726,789.57

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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.