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Finding the Third Proportional to 30,735 and 66,405

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Solution

The third proportional to 30,735 and 66,405 is: 143,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735 : 66,405 = 66,405 : x
  2. Step 2: Convert to fraction form
    30,735/66,405 = 66,405/x
  3. Step 3: Cross multiply
    30,735x = 66,405 × 66,405
  4. Step 4: Simplify right side
    30,735x = 4,409,624,025
  5. Step 5: Solve for x
    x = 4,409,624,025/30,735
  6. Step 6: Final answer
    x = 143,472.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.