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Finding the Third Proportional to 66,697 and 144,467

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Solution

The third proportional to 66,697 and 144,467 is: 312,918.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,697 : 144,467 = 144,467 : x
  2. Step 2: Convert to fraction form
    66,697/144,467 = 144,467/x
  3. Step 3: Cross multiply
    66,697x = 144,467 × 144,467
  4. Step 4: Simplify right side
    66,697x = 20,870,714,089
  5. Step 5: Solve for x
    x = 20,870,714,089/66,697
  6. Step 6: Final answer
    x = 312,918.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.