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Finding the Third Proportional to 311,541 and 675,570

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Solution

The third proportional to 311,541 and 675,570 is: 1,464,959.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,541 : 675,570 = 675,570 : x
  2. Step 2: Convert to fraction form
    311,541/675,570 = 675,570/x
  3. Step 3: Cross multiply
    311,541x = 675,570 × 675,570
  4. Step 4: Simplify right side
    311,541x = 456,394,824,900
  5. Step 5: Solve for x
    x = 456,394,824,900/311,541
  6. Step 6: Final answer
    x = 1,464,959.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.