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Finding the Third Proportional to 143,414 and 210,041

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Solution

The third proportional to 143,414 and 210,041 is: 307,621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,414 : 210,041 = 210,041 : x
  2. Step 2: Convert to fraction form
    143,414/210,041 = 210,041/x
  3. Step 3: Cross multiply
    143,414x = 210,041 × 210,041
  4. Step 4: Simplify right side
    143,414x = 44,117,221,681
  5. Step 5: Solve for x
    x = 44,117,221,681/143,414
  6. Step 6: Final answer
    x = 307,621.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.