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Finding the Third Proportional to 66,735 and 146,970

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Solution

The third proportional to 66,735 and 146,970 is: 323,670.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,735 : 146,970 = 146,970 : x
  2. Step 2: Convert to fraction form
    66,735/146,970 = 146,970/x
  3. Step 3: Cross multiply
    66,735x = 146,970 × 146,970
  4. Step 4: Simplify right side
    66,735x = 21,600,180,900
  5. Step 5: Solve for x
    x = 21,600,180,900/66,735
  6. Step 6: Final answer
    x = 323,670.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.