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Finding the Third Proportional to 311,538 and 675,564

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Solution

The third proportional to 311,538 and 675,564 is: 1,464,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,538 : 675,564 = 675,564 : x
  2. Step 2: Convert to fraction form
    311,538/675,564 = 675,564/x
  3. Step 3: Cross multiply
    311,538x = 675,564 × 675,564
  4. Step 4: Simplify right side
    311,538x = 456,386,718,096
  5. Step 5: Solve for x
    x = 456,386,718,096/311,538
  6. Step 6: Final answer
    x = 1,464,947.19

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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.