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Finding the Third Proportional to 148,464 and 311,512

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Solution

The third proportional to 148,464 and 311,512 is: 653,624.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,464 : 311,512 = 311,512 : x
  2. Step 2: Convert to fraction form
    148,464/311,512 = 311,512/x
  3. Step 3: Cross multiply
    148,464x = 311,512 × 311,512
  4. Step 4: Simplify right side
    148,464x = 97,039,726,144
  5. Step 5: Solve for x
    x = 97,039,726,144/148,464
  6. Step 6: Final answer
    x = 653,624.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.