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Finding the Third Proportional to 89,415 and 194,207

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Solution

The third proportional to 89,415 and 194,207 is: 421,812.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,415 : 194,207 = 194,207 : x
  2. Step 2: Convert to fraction form
    89,415/194,207 = 194,207/x
  3. Step 3: Cross multiply
    89,415x = 194,207 × 194,207
  4. Step 4: Simplify right side
    89,415x = 37,716,358,849
  5. Step 5: Solve for x
    x = 37,716,358,849/89,415
  6. Step 6: Final answer
    x = 421,812.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.