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Finding the Third Proportional to 104,213 and 212,108

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Solution

The third proportional to 104,213 and 212,108 is: 431,710.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,213 : 212,108 = 212,108 : x
  2. Step 2: Convert to fraction form
    104,213/212,108 = 212,108/x
  3. Step 3: Cross multiply
    104,213x = 212,108 × 212,108
  4. Step 4: Simplify right side
    104,213x = 44,989,803,664
  5. Step 5: Solve for x
    x = 44,989,803,664/104,213
  6. Step 6: Final answer
    x = 431,710.09

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.