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Finding the Third Proportional to 138,698 and 205,455

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Solution

The third proportional to 138,698 and 205,455 is: 304,342.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,698 : 205,455 = 205,455 : x
  2. Step 2: Convert to fraction form
    138,698/205,455 = 205,455/x
  3. Step 3: Cross multiply
    138,698x = 205,455 × 205,455
  4. Step 4: Simplify right side
    138,698x = 42,211,757,025
  5. Step 5: Solve for x
    x = 42,211,757,025/138,698
  6. Step 6: Final answer
    x = 304,342.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.