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Finding the Third Proportional to 136,048 and 211,470

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Solution

The third proportional to 136,048 and 211,470 is: 328,704.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,048 : 211,470 = 211,470 : x
  2. Step 2: Convert to fraction form
    136,048/211,470 = 211,470/x
  3. Step 3: Cross multiply
    136,048x = 211,470 × 211,470
  4. Step 4: Simplify right side
    136,048x = 44,719,560,900
  5. Step 5: Solve for x
    x = 44,719,560,900/136,048
  6. Step 6: Final answer
    x = 328,704.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.