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Finding the Third Proportional to 258,600 and 403,615

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Solution

The third proportional to 258,600 and 403,615 is: 629,949.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,600 : 403,615 = 403,615 : x
  2. Step 2: Convert to fraction form
    258,600/403,615 = 403,615/x
  3. Step 3: Cross multiply
    258,600x = 403,615 × 403,615
  4. Step 4: Simplify right side
    258,600x = 162,905,068,225
  5. Step 5: Solve for x
    x = 162,905,068,225/258,600
  6. Step 6: Final answer
    x = 629,949.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.