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Finding the Third Proportional to 265,500 and 420,615

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Solution

The third proportional to 265,500 and 420,615 is: 666,353.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,500 : 420,615 = 420,615 : x
  2. Step 2: Convert to fraction form
    265,500/420,615 = 420,615/x
  3. Step 3: Cross multiply
    265,500x = 420,615 × 420,615
  4. Step 4: Simplify right side
    265,500x = 176,916,978,225
  5. Step 5: Solve for x
    x = 176,916,978,225/265,500
  6. Step 6: Final answer
    x = 666,353.97

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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.