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Finding the Third Proportional to 311,576 and 675,640

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Solution

The third proportional to 311,576 and 675,640 is: 1,465,098.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,576 : 675,640 = 675,640 : x
  2. Step 2: Convert to fraction form
    311,576/675,640 = 675,640/x
  3. Step 3: Cross multiply
    311,576x = 675,640 × 675,640
  4. Step 4: Simplify right side
    311,576x = 456,489,409,600
  5. Step 5: Solve for x
    x = 456,489,409,600/311,576
  6. Step 6: Final answer
    x = 1,465,098.11

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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.