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Finding the Third Proportional to 138,554 and 210,018

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Solution

The third proportional to 138,554 and 210,018 is: 318,342.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,554 : 210,018 = 210,018 : x
  2. Step 2: Convert to fraction form
    138,554/210,018 = 210,018/x
  3. Step 3: Cross multiply
    138,554x = 210,018 × 210,018
  4. Step 4: Simplify right side
    138,554x = 44,107,560,324
  5. Step 5: Solve for x
    x = 44,107,560,324/138,554
  6. Step 6: Final answer
    x = 318,342.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.