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Finding the Third Proportional to 125,556 and 259,803

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Solution

The third proportional to 125,556 and 259,803 is: 537,589.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,556 : 259,803 = 259,803 : x
  2. Step 2: Convert to fraction form
    125,556/259,803 = 259,803/x
  3. Step 3: Cross multiply
    125,556x = 259,803 × 259,803
  4. Step 4: Simplify right side
    125,556x = 67,497,598,809
  5. Step 5: Solve for x
    x = 67,497,598,809/125,556
  6. Step 6: Final answer
    x = 537,589.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.