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Finding the Third Proportional to 300,868 and 655,695

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Solution

The third proportional to 300,868 and 655,695 is: 1,428,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,868 : 655,695 = 655,695 : x
  2. Step 2: Convert to fraction form
    300,868/655,695 = 655,695/x
  3. Step 3: Cross multiply
    300,868x = 655,695 × 655,695
  4. Step 4: Simplify right side
    300,868x = 429,935,933,025
  5. Step 5: Solve for x
    x = 429,935,933,025/300,868
  6. Step 6: Final answer
    x = 1,428,985.25

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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.