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Finding the Third Proportional to 28,830 and 43,245

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Solution

The third proportional to 28,830 and 43,245 is: 64,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,830 : 43,245 = 43,245 : x
  2. Step 2: Convert to fraction form
    28,830/43,245 = 43,245/x
  3. Step 3: Cross multiply
    28,830x = 43,245 × 43,245
  4. Step 4: Simplify right side
    28,830x = 1,870,130,025
  5. Step 5: Solve for x
    x = 1,870,130,025/28,830
  6. Step 6: Final answer
    x = 64,867.50

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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.