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Finding the Third Proportional to 311,570 and 677,814

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Solution

The third proportional to 311,570 and 677,814 is: 1,474,570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,570 : 677,814 = 677,814 : x
  2. Step 2: Convert to fraction form
    311,570/677,814 = 677,814/x
  3. Step 3: Cross multiply
    311,570x = 677,814 × 677,814
  4. Step 4: Simplify right side
    311,570x = 459,431,818,596
  5. Step 5: Solve for x
    x = 459,431,818,596/311,570
  6. Step 6: Final answer
    x = 1,474,570.14

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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.