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Finding the Third Proportional to 148,118 and 313,891

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Solution

The third proportional to 148,118 and 313,891 is: 665,196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,118 : 313,891 = 313,891 : x
  2. Step 2: Convert to fraction form
    148,118/313,891 = 313,891/x
  3. Step 3: Cross multiply
    148,118x = 313,891 × 313,891
  4. Step 4: Simplify right side
    148,118x = 98,527,559,881
  5. Step 5: Solve for x
    x = 98,527,559,881/148,118
  6. Step 6: Final answer
    x = 665,196.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.