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Finding the Third Proportional to 66,372 and 144,409

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Solution

The third proportional to 66,372 and 144,409 is: 314,198.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,372 : 144,409 = 144,409 : x
  2. Step 2: Convert to fraction form
    66,372/144,409 = 144,409/x
  3. Step 3: Cross multiply
    66,372x = 144,409 × 144,409
  4. Step 4: Simplify right side
    66,372x = 20,853,959,281
  5. Step 5: Solve for x
    x = 20,853,959,281/66,372
  6. Step 6: Final answer
    x = 314,198.15

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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.