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Finding the Third Proportional to 73,362 and 106,584

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Solution

The third proportional to 73,362 and 106,584 is: 154,850.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,362 : 106,584 = 106,584 : x
  2. Step 2: Convert to fraction form
    73,362/106,584 = 106,584/x
  3. Step 3: Cross multiply
    73,362x = 106,584 × 106,584
  4. Step 4: Simplify right side
    73,362x = 11,360,149,056
  5. Step 5: Solve for x
    x = 11,360,149,056/73,362
  6. Step 6: Final answer
    x = 154,850.59

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.