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Finding the Third Proportional to 311,672 and 662,176

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Solution

The third proportional to 311,672 and 662,176 is: 1,406,854.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,672 : 662,176 = 662,176 : x
  2. Step 2: Convert to fraction form
    311,672/662,176 = 662,176/x
  3. Step 3: Cross multiply
    311,672x = 662,176 × 662,176
  4. Step 4: Simplify right side
    311,672x = 438,477,054,976
  5. Step 5: Solve for x
    x = 438,477,054,976/311,672
  6. Step 6: Final answer
    x = 1,406,854.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.