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Finding the Third Proportional to 66,725 and 145,765

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Solution

The third proportional to 66,725 and 145,765 is: 318,432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,725 : 145,765 = 145,765 : x
  2. Step 2: Convert to fraction form
    66,725/145,765 = 145,765/x
  3. Step 3: Cross multiply
    66,725x = 145,765 × 145,765
  4. Step 4: Simplify right side
    66,725x = 21,247,435,225
  5. Step 5: Solve for x
    x = 21,247,435,225/66,725
  6. Step 6: Final answer
    x = 318,432.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.