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Finding the Third Proportional to 146,238 and 318,918

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Solution

The third proportional to 146,238 and 318,918 is: 695,501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,238 : 318,918 = 318,918 : x
  2. Step 2: Convert to fraction form
    146,238/318,918 = 318,918/x
  3. Step 3: Cross multiply
    146,238x = 318,918 × 318,918
  4. Step 4: Simplify right side
    146,238x = 101,708,690,724
  5. Step 5: Solve for x
    x = 101,708,690,724/146,238
  6. Step 6: Final answer
    x = 695,501.11

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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.