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Finding the Third Proportional to 288,224 and 431,184

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Solution

The third proportional to 288,224 and 431,184 is: 645,052.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,224 : 431,184 = 431,184 : x
  2. Step 2: Convert to fraction form
    288,224/431,184 = 431,184/x
  3. Step 3: Cross multiply
    288,224x = 431,184 × 431,184
  4. Step 4: Simplify right side
    288,224x = 185,919,641,856
  5. Step 5: Solve for x
    x = 185,919,641,856/288,224
  6. Step 6: Final answer
    x = 645,052.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.