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Finding the Third Proportional to 28,434 and 45,427

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Solution

The third proportional to 28,434 and 45,427 is: 72,575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,434 : 45,427 = 45,427 : x
  2. Step 2: Convert to fraction form
    28,434/45,427 = 45,427/x
  3. Step 3: Cross multiply
    28,434x = 45,427 × 45,427
  4. Step 4: Simplify right side
    28,434x = 2,063,612,329
  5. Step 5: Solve for x
    x = 2,063,612,329/28,434
  6. Step 6: Final answer
    x = 72,575.52

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.