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Finding the Third Proportional to 69,520 and 143,800

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Solution

The third proportional to 69,520 and 143,800 is: 297,445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,520 : 143,800 = 143,800 : x
  2. Step 2: Convert to fraction form
    69,520/143,800 = 143,800/x
  3. Step 3: Cross multiply
    69,520x = 143,800 × 143,800
  4. Step 4: Simplify right side
    69,520x = 20,678,440,000
  5. Step 5: Solve for x
    x = 20,678,440,000/69,520
  6. Step 6: Final answer
    x = 297,445.91

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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.