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Finding the Third Proportional to 28,587 and 43,425

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Solution

The third proportional to 28,587 and 43,425 is: 65,964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,587 : 43,425 = 43,425 : x
  2. Step 2: Convert to fraction form
    28,587/43,425 = 43,425/x
  3. Step 3: Cross multiply
    28,587x = 43,425 × 43,425
  4. Step 4: Simplify right side
    28,587x = 1,885,730,625
  5. Step 5: Solve for x
    x = 1,885,730,625/28,587
  6. Step 6: Final answer
    x = 65,964.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.