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Finding the Third Proportional to 102,438 and 223,556

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Solution

The third proportional to 102,438 and 223,556 is: 487,878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,438 : 223,556 = 223,556 : x
  2. Step 2: Convert to fraction form
    102,438/223,556 = 223,556/x
  3. Step 3: Cross multiply
    102,438x = 223,556 × 223,556
  4. Step 4: Simplify right side
    102,438x = 49,977,285,136
  5. Step 5: Solve for x
    x = 49,977,285,136/102,438
  6. Step 6: Final answer
    x = 487,878.38

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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.