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Finding the Third Proportional to 154,108 and 333,486

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Solution

The third proportional to 154,108 and 333,486 is: 721,655.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,108 : 333,486 = 333,486 : x
  2. Step 2: Convert to fraction form
    154,108/333,486 = 333,486/x
  3. Step 3: Cross multiply
    154,108x = 333,486 × 333,486
  4. Step 4: Simplify right side
    154,108x = 111,212,912,196
  5. Step 5: Solve for x
    x = 111,212,912,196/154,108
  6. Step 6: Final answer
    x = 721,655.67

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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.