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Finding the Third Proportional to 122,140 and 194,294

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Solution

The third proportional to 122,140 and 194,294 is: 309,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,140 : 194,294 = 194,294 : x
  2. Step 2: Convert to fraction form
    122,140/194,294 = 194,294/x
  3. Step 3: Cross multiply
    122,140x = 194,294 × 194,294
  4. Step 4: Simplify right side
    122,140x = 37,750,158,436
  5. Step 5: Solve for x
    x = 37,750,158,436/122,140
  6. Step 6: Final answer
    x = 309,072.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.