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Finding the Third Proportional to 315,430 and 476,425

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Solution

The third proportional to 315,430 and 476,425 is: 719,591.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,430 : 476,425 = 476,425 : x
  2. Step 2: Convert to fraction form
    315,430/476,425 = 476,425/x
  3. Step 3: Cross multiply
    315,430x = 476,425 × 476,425
  4. Step 4: Simplify right side
    315,430x = 226,980,780,625
  5. Step 5: Solve for x
    x = 226,980,780,625/315,430
  6. Step 6: Final answer
    x = 719,591.61

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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.