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Finding the Third Proportional to 138,763 and 300,853

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Solution

The third proportional to 138,763 and 300,853 is: 652,281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,763 : 300,853 = 300,853 : x
  2. Step 2: Convert to fraction form
    138,763/300,853 = 300,853/x
  3. Step 3: Cross multiply
    138,763x = 300,853 × 300,853
  4. Step 4: Simplify right side
    138,763x = 90,512,527,609
  5. Step 5: Solve for x
    x = 90,512,527,609/138,763
  6. Step 6: Final answer
    x = 652,281.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.