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Finding the Third Proportional to 170,242 and 263,438

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Solution

The third proportional to 170,242 and 263,438 is: 407,652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,242 : 263,438 = 263,438 : x
  2. Step 2: Convert to fraction form
    170,242/263,438 = 263,438/x
  3. Step 3: Cross multiply
    170,242x = 263,438 × 263,438
  4. Step 4: Simplify right side
    170,242x = 69,399,579,844
  5. Step 5: Solve for x
    x = 69,399,579,844/170,242
  6. Step 6: Final answer
    x = 407,652.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.