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Finding the Third Proportional to 66,941.50 and 144,903

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Solution

The third proportional to 66,941.50 and 144,903 is: 313,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,941.50 : 144,903 = 144,903 : x
  2. Step 2: Convert to fraction form
    66,941.50/144,903 = 144,903/x
  3. Step 3: Cross multiply
    66,941.50x = 144,903 × 144,903
  4. Step 4: Simplify right side
    66,941.50x = 20,996,879,409
  5. Step 5: Solve for x
    x = 20,996,879,409/66,941.50
  6. Step 6: Final answer
    x = 313,660.13

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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.