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Finding the Third Proportional to 103,989.75 and 212,908.50

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Solution

The third proportional to 103,989.75 and 212,908.50 is: 435,908.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,989.75 : 212,908.50 = 212,908.50 : x
  2. Step 2: Convert to fraction form
    103,989.75/212,908.50 = 212,908.50/x
  3. Step 3: Cross multiply
    103,989.75x = 212,908.50 × 212,908.50
  4. Step 4: Simplify right side
    103,989.75x = 45,330,029,372.25
  5. Step 5: Solve for x
    x = 45,330,029,372.25/103,989.75
  6. Step 6: Final answer
    x = 435,908.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.