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Finding the Third Proportional to 66,940 and 144,764

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Solution

The third proportional to 66,940 and 144,764 is: 313,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,940 : 144,764 = 144,764 : x
  2. Step 2: Convert to fraction form
    66,940/144,764 = 144,764/x
  3. Step 3: Cross multiply
    66,940x = 144,764 × 144,764
  4. Step 4: Simplify right side
    66,940x = 20,956,615,696
  5. Step 5: Solve for x
    x = 20,956,615,696/66,940
  6. Step 6: Final answer
    x = 313,065.67

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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.