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Finding the Third Proportional to 139,146 and 211,374

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Solution

The third proportional to 139,146 and 211,374 is: 321,094.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,146 : 211,374 = 211,374 : x
  2. Step 2: Convert to fraction form
    139,146/211,374 = 211,374/x
  3. Step 3: Cross multiply
    139,146x = 211,374 × 211,374
  4. Step 4: Simplify right side
    139,146x = 44,678,967,876
  5. Step 5: Solve for x
    x = 44,678,967,876/139,146
  6. Step 6: Final answer
    x = 321,094.16

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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.