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Finding the Third Proportional to 430,868 and 681,945

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Solution

The third proportional to 430,868 and 681,945 is: 1,079,330.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,868 : 681,945 = 681,945 : x
  2. Step 2: Convert to fraction form
    430,868/681,945 = 681,945/x
  3. Step 3: Cross multiply
    430,868x = 681,945 × 681,945
  4. Step 4: Simplify right side
    430,868x = 465,048,983,025
  5. Step 5: Solve for x
    x = 465,048,983,025/430,868
  6. Step 6: Final answer
    x = 1,079,330.52

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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.