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Finding the Third Proportional to 150,705 and 311,211

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Solution

The third proportional to 150,705 and 311,211 is: 642,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,705 : 311,211 = 311,211 : x
  2. Step 2: Convert to fraction form
    150,705/311,211 = 311,211/x
  3. Step 3: Cross multiply
    150,705x = 311,211 × 311,211
  4. Step 4: Simplify right side
    150,705x = 96,852,286,521
  5. Step 5: Solve for x
    x = 96,852,286,521/150,705
  6. Step 6: Final answer
    x = 642,661.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.