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Finding the Third Proportional to 102,444 and 223,566

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Solution

The third proportional to 102,444 and 223,566 is: 487,893.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,444 : 223,566 = 223,566 : x
  2. Step 2: Convert to fraction form
    102,444/223,566 = 223,566/x
  3. Step 3: Cross multiply
    102,444x = 223,566 × 223,566
  4. Step 4: Simplify right side
    102,444x = 49,981,756,356
  5. Step 5: Solve for x
    x = 49,981,756,356/102,444
  6. Step 6: Final answer
    x = 487,893.45

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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.