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Finding the Third Proportional to 69,141 and 149,391

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Solution

The third proportional to 69,141 and 149,391 is: 322,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,141 : 149,391 = 149,391 : x
  2. Step 2: Convert to fraction form
    69,141/149,391 = 149,391/x
  3. Step 3: Cross multiply
    69,141x = 149,391 × 149,391
  4. Step 4: Simplify right side
    69,141x = 22,317,670,881
  5. Step 5: Solve for x
    x = 22,317,670,881/69,141
  6. Step 6: Final answer
    x = 322,784.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.