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Finding the Third Proportional to 430,980 and 682,101

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Solution

The third proportional to 430,980 and 682,101 is: 1,079,543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,980 : 682,101 = 682,101 : x
  2. Step 2: Convert to fraction form
    430,980/682,101 = 682,101/x
  3. Step 3: Cross multiply
    430,980x = 682,101 × 682,101
  4. Step 4: Simplify right side
    430,980x = 465,261,774,201
  5. Step 5: Solve for x
    x = 465,261,774,201/430,980
  6. Step 6: Final answer
    x = 1,079,543.77

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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.