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Finding the Third Proportional to 120,028 and 193,342

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Solution

The third proportional to 120,028 and 193,342 is: 311,436.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,028 : 193,342 = 193,342 : x
  2. Step 2: Convert to fraction form
    120,028/193,342 = 193,342/x
  3. Step 3: Cross multiply
    120,028x = 193,342 × 193,342
  4. Step 4: Simplify right side
    120,028x = 37,381,128,964
  5. Step 5: Solve for x
    x = 37,381,128,964/120,028
  6. Step 6: Final answer
    x = 311,436.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.