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Finding the Third Proportional to 69,068 and 143,044

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Solution

The third proportional to 69,068 and 143,044 is: 296,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,068 : 143,044 = 143,044 : x
  2. Step 2: Convert to fraction form
    69,068/143,044 = 143,044/x
  3. Step 3: Cross multiply
    69,068x = 143,044 × 143,044
  4. Step 4: Simplify right side
    69,068x = 20,461,585,936
  5. Step 5: Solve for x
    x = 20,461,585,936/69,068
  6. Step 6: Final answer
    x = 296,252.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.