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Finding the Third Proportional to 146,910 and 318,708

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Solution

The third proportional to 146,910 and 318,708 is: 691,408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,910 : 318,708 = 318,708 : x
  2. Step 2: Convert to fraction form
    146,910/318,708 = 318,708/x
  3. Step 3: Cross multiply
    146,910x = 318,708 × 318,708
  4. Step 4: Simplify right side
    146,910x = 101,574,789,264
  5. Step 5: Solve for x
    x = 101,574,789,264/146,910
  6. Step 6: Final answer
    x = 691,408.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.