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Finding the Third Proportional to 288,936 and 430,344

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Solution

The third proportional to 288,936 and 430,344 is: 640,958.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,936 : 430,344 = 430,344 : x
  2. Step 2: Convert to fraction form
    288,936/430,344 = 430,344/x
  3. Step 3: Cross multiply
    288,936x = 430,344 × 430,344
  4. Step 4: Simplify right side
    288,936x = 185,195,958,336
  5. Step 5: Solve for x
    x = 185,195,958,336/288,936
  6. Step 6: Final answer
    x = 640,958.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.