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Finding the Third Proportional to 146,217 and 318,858

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Solution

The third proportional to 146,217 and 318,858 is: 695,339.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,217 : 318,858 = 318,858 : x
  2. Step 2: Convert to fraction form
    146,217/318,858 = 318,858/x
  3. Step 3: Cross multiply
    146,217x = 318,858 × 318,858
  4. Step 4: Simplify right side
    146,217x = 101,670,424,164
  5. Step 5: Solve for x
    x = 101,670,424,164/146,217
  6. Step 6: Final answer
    x = 695,339.28

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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.