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Finding the Third Proportional to 188,432 and 283,052

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Solution

The third proportional to 188,432 and 283,052 is: 425,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,432 : 283,052 = 283,052 : x
  2. Step 2: Convert to fraction form
    188,432/283,052 = 283,052/x
  3. Step 3: Cross multiply
    188,432x = 283,052 × 283,052
  4. Step 4: Simplify right side
    188,432x = 80,118,434,704
  5. Step 5: Solve for x
    x = 80,118,434,704/188,432
  6. Step 6: Final answer
    x = 425,184.87

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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.