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Finding the Third Proportional to 145,612 and 318,162

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Solution

The third proportional to 145,612 and 318,162 is: 695,183.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,612 : 318,162 = 318,162 : x
  2. Step 2: Convert to fraction form
    145,612/318,162 = 318,162/x
  3. Step 3: Cross multiply
    145,612x = 318,162 × 318,162
  4. Step 4: Simplify right side
    145,612x = 101,227,058,244
  5. Step 5: Solve for x
    x = 101,227,058,244/145,612
  6. Step 6: Final answer
    x = 695,183.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.