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Finding the Third Proportional to 140,095 and 311,294

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Solution

The third proportional to 140,095 and 311,294 is: 691,701.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,095 : 311,294 = 311,294 : x
  2. Step 2: Convert to fraction form
    140,095/311,294 = 311,294/x
  3. Step 3: Cross multiply
    140,095x = 311,294 × 311,294
  4. Step 4: Simplify right side
    140,095x = 96,903,954,436
  5. Step 5: Solve for x
    x = 96,903,954,436/140,095
  6. Step 6: Final answer
    x = 691,701.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.