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Finding the Third Proportional to 148,555 and 219,556

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Solution

The third proportional to 148,555 and 219,556 is: 324,491.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,555 : 219,556 = 219,556 : x
  2. Step 2: Convert to fraction form
    148,555/219,556 = 219,556/x
  3. Step 3: Cross multiply
    148,555x = 219,556 × 219,556
  4. Step 4: Simplify right side
    148,555x = 48,204,837,136
  5. Step 5: Solve for x
    x = 48,204,837,136/148,555
  6. Step 6: Final answer
    x = 324,491.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.