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Finding the Third Proportional to 305,977 and 430,122

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Solution

The third proportional to 305,977 and 430,122 is: 604,636.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,977 : 430,122 = 430,122 : x
  2. Step 2: Convert to fraction form
    305,977/430,122 = 430,122/x
  3. Step 3: Cross multiply
    305,977x = 430,122 × 430,122
  4. Step 4: Simplify right side
    305,977x = 185,004,934,884
  5. Step 5: Solve for x
    x = 185,004,934,884/305,977
  6. Step 6: Final answer
    x = 604,636.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.