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Finding the Third Proportional to 69,087 and 143,367

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Solution

The third proportional to 69,087 and 143,367 is: 297,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,087 : 143,367 = 143,367 : x
  2. Step 2: Convert to fraction form
    69,087/143,367 = 143,367/x
  3. Step 3: Cross multiply
    69,087x = 143,367 × 143,367
  4. Step 4: Simplify right side
    69,087x = 20,554,096,689
  5. Step 5: Solve for x
    x = 20,554,096,689/69,087
  6. Step 6: Final answer
    x = 297,510.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.