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Finding the Third Proportional to 100,556 and 210,904

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Solution

The third proportional to 100,556 and 210,904 is: 442,345.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,556 : 210,904 = 210,904 : x
  2. Step 2: Convert to fraction form
    100,556/210,904 = 210,904/x
  3. Step 3: Cross multiply
    100,556x = 210,904 × 210,904
  4. Step 4: Simplify right side
    100,556x = 44,480,497,216
  5. Step 5: Solve for x
    x = 44,480,497,216/100,556
  6. Step 6: Final answer
    x = 442,345.53

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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.