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Finding the Third Proportional to 207,481 and 455,138

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Solution

The third proportional to 207,481 and 455,138 is: 998,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,481 : 455,138 = 455,138 : x
  2. Step 2: Convert to fraction form
    207,481/455,138 = 455,138/x
  3. Step 3: Cross multiply
    207,481x = 455,138 × 455,138
  4. Step 4: Simplify right side
    207,481x = 207,150,599,044
  5. Step 5: Solve for x
    x = 207,150,599,044/207,481
  6. Step 6: Final answer
    x = 998,407.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.