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Finding the Third Proportional to 69,510 and 141,476

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Solution

The third proportional to 69,510 and 141,476 is: 287,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,510 : 141,476 = 141,476 : x
  2. Step 2: Convert to fraction form
    69,510/141,476 = 141,476/x
  3. Step 3: Cross multiply
    69,510x = 141,476 × 141,476
  4. Step 4: Simplify right side
    69,510x = 20,015,458,576
  5. Step 5: Solve for x
    x = 20,015,458,576/69,510
  6. Step 6: Final answer
    x = 287,950.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.