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Finding the Third Proportional to 69,116 and 143,420

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Solution

The third proportional to 69,116 and 143,420 is: 297,605.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,116 : 143,420 = 143,420 : x
  2. Step 2: Convert to fraction form
    69,116/143,420 = 143,420/x
  3. Step 3: Cross multiply
    69,116x = 143,420 × 143,420
  4. Step 4: Simplify right side
    69,116x = 20,569,296,400
  5. Step 5: Solve for x
    x = 20,569,296,400/69,116
  6. Step 6: Final answer
    x = 297,605.42

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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.