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Finding the Third Proportional to 288,406 and 430,218

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Solution

The third proportional to 288,406 and 430,218 is: 641,760.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,406 : 430,218 = 430,218 : x
  2. Step 2: Convert to fraction form
    288,406/430,218 = 430,218/x
  3. Step 3: Cross multiply
    288,406x = 430,218 × 430,218
  4. Step 4: Simplify right side
    288,406x = 185,087,527,524
  5. Step 5: Solve for x
    x = 185,087,527,524/288,406
  6. Step 6: Final answer
    x = 641,760.32

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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.