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Finding the Third Proportional to 315,189 and 478,620

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Solution

The third proportional to 315,189 and 478,620 is: 726,792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,189 : 478,620 = 478,620 : x
  2. Step 2: Convert to fraction form
    315,189/478,620 = 478,620/x
  3. Step 3: Cross multiply
    315,189x = 478,620 × 478,620
  4. Step 4: Simplify right side
    315,189x = 229,077,104,400
  5. Step 5: Solve for x
    x = 229,077,104,400/315,189
  6. Step 6: Final answer
    x = 726,792.83

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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.