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Finding the Third Proportional to 288,400 and 430,208

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Solution

The third proportional to 288,400 and 430,208 is: 641,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,400 : 430,208 = 430,208 : x
  2. Step 2: Convert to fraction form
    288,400/430,208 = 430,208/x
  3. Step 3: Cross multiply
    288,400x = 430,208 × 430,208
  4. Step 4: Simplify right side
    288,400x = 185,078,923,264
  5. Step 5: Solve for x
    x = 185,078,923,264/288,400
  6. Step 6: Final answer
    x = 641,743.84

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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.