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Finding the Third Proportional to 28,590 and 43,980

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Solution

The third proportional to 28,590 and 43,980 is: 67,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,590 : 43,980 = 43,980 : x
  2. Step 2: Convert to fraction form
    28,590/43,980 = 43,980/x
  3. Step 3: Cross multiply
    28,590x = 43,980 × 43,980
  4. Step 4: Simplify right side
    28,590x = 1,934,240,400
  5. Step 5: Solve for x
    x = 1,934,240,400/28,590
  6. Step 6: Final answer
    x = 67,654.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.