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Finding the Third Proportional to 102,946 and 223,940

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Solution

The third proportional to 102,946 and 223,940 is: 487,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,946 : 223,940 = 223,940 : x
  2. Step 2: Convert to fraction form
    102,946/223,940 = 223,940/x
  3. Step 3: Cross multiply
    102,946x = 223,940 × 223,940
  4. Step 4: Simplify right side
    102,946x = 50,149,123,600
  5. Step 5: Solve for x
    x = 50,149,123,600/102,946
  6. Step 6: Final answer
    x = 487,140.09

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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.