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Finding the Third Proportional to 430,977 and 682,095

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Solution

The third proportional to 430,977 and 682,095 is: 1,079,532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,977 : 682,095 = 682,095 : x
  2. Step 2: Convert to fraction form
    430,977/682,095 = 682,095/x
  3. Step 3: Cross multiply
    430,977x = 682,095 × 682,095
  4. Step 4: Simplify right side
    430,977x = 465,253,589,025
  5. Step 5: Solve for x
    x = 465,253,589,025/430,977
  6. Step 6: Final answer
    x = 1,079,532.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.