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Finding the Third Proportional to 203,556 and 442,128

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Solution

The third proportional to 203,556 and 442,128 is: 960,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,556 : 442,128 = 442,128 : x
  2. Step 2: Convert to fraction form
    203,556/442,128 = 442,128/x
  3. Step 3: Cross multiply
    203,556x = 442,128 × 442,128
  4. Step 4: Simplify right side
    203,556x = 195,477,168,384
  5. Step 5: Solve for x
    x = 195,477,168,384/203,556
  6. Step 6: Final answer
    x = 960,311.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.