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Finding the Third Proportional to 306,245 and 450,615

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Solution

The third proportional to 306,245 and 450,615 is: 663,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,245 : 450,615 = 450,615 : x
  2. Step 2: Convert to fraction form
    306,245/450,615 = 450,615/x
  3. Step 3: Cross multiply
    306,245x = 450,615 × 450,615
  4. Step 4: Simplify right side
    306,245x = 203,053,878,225
  5. Step 5: Solve for x
    x = 203,053,878,225/306,245
  6. Step 6: Final answer
    x = 663,043.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.