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Finding the Third Proportional to 125,261 and 262,831

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Solution

The third proportional to 125,261 and 262,831 is: 551,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,261 : 262,831 = 262,831 : x
  2. Step 2: Convert to fraction form
    125,261/262,831 = 262,831/x
  3. Step 3: Cross multiply
    125,261x = 262,831 × 262,831
  4. Step 4: Simplify right side
    125,261x = 69,080,134,561
  5. Step 5: Solve for x
    x = 69,080,134,561/125,261
  6. Step 6: Final answer
    x = 551,489.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.