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Finding the Third Proportional to 430,984 and 682,108

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Solution

The third proportional to 430,984 and 682,108 is: 1,079,555.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,984 : 682,108 = 682,108 : x
  2. Step 2: Convert to fraction form
    430,984/682,108 = 682,108/x
  3. Step 3: Cross multiply
    430,984x = 682,108 × 682,108
  4. Step 4: Simplify right side
    430,984x = 465,271,323,664
  5. Step 5: Solve for x
    x = 465,271,323,664/430,984
  6. Step 6: Final answer
    x = 1,079,555.91

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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.