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Finding the Third Proportional to 311,602 and 677,888

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Solution

The third proportional to 311,602 and 677,888 is: 1,474,740.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,602 : 677,888 = 677,888 : x
  2. Step 2: Convert to fraction form
    311,602/677,888 = 677,888/x
  3. Step 3: Cross multiply
    311,602x = 677,888 × 677,888
  4. Step 4: Simplify right side
    311,602x = 459,532,140,544
  5. Step 5: Solve for x
    x = 459,532,140,544/311,602
  6. Step 6: Final answer
    x = 1,474,740.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.