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Finding the Third Proportional to 106,971 and 212,023.50

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Solution

The third proportional to 106,971 and 212,023.50 is: 420,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,971 : 212,023.50 = 212,023.50 : x
  2. Step 2: Convert to fraction form
    106,971/212,023.50 = 212,023.50/x
  3. Step 3: Cross multiply
    106,971x = 212,023.50 × 212,023.50
  4. Step 4: Simplify right side
    106,971x = 44,953,964,552.25
  5. Step 5: Solve for x
    x = 44,953,964,552.25/106,971
  6. Step 6: Final answer
    x = 420,244.41

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.