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Finding the Third Proportional to 28,978 and 43,459

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Solution

The third proportional to 28,978 and 43,459 is: 65,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,978 : 43,459 = 43,459 : x
  2. Step 2: Convert to fraction form
    28,978/43,459 = 43,459/x
  3. Step 3: Cross multiply
    28,978x = 43,459 × 43,459
  4. Step 4: Simplify right side
    28,978x = 1,888,684,681
  5. Step 5: Solve for x
    x = 1,888,684,681/28,978
  6. Step 6: Final answer
    x = 65,176.50

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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.