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Finding the Third Proportional to 69,483 and 141,427

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Solution

The third proportional to 69,483 and 141,427 is: 287,863.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,483 : 141,427 = 141,427 : x
  2. Step 2: Convert to fraction form
    69,483/141,427 = 141,427/x
  3. Step 3: Cross multiply
    69,483x = 141,427 × 141,427
  4. Step 4: Simplify right side
    69,483x = 20,001,596,329
  5. Step 5: Solve for x
    x = 20,001,596,329/69,483
  6. Step 6: Final answer
    x = 287,863.17

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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.