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Finding the Third Proportional to 43,230 and 64,845

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Solution

The third proportional to 43,230 and 64,845 is: 97,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,230 : 64,845 = 64,845 : x
  2. Step 2: Convert to fraction form
    43,230/64,845 = 64,845/x
  3. Step 3: Cross multiply
    43,230x = 64,845 × 64,845
  4. Step 4: Simplify right side
    43,230x = 4,204,874,025
  5. Step 5: Solve for x
    x = 4,204,874,025/43,230
  6. Step 6: Final answer
    x = 97,267.50

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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.