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Finding the Third Proportional to 200,556 and 266,220

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Solution

The third proportional to 200,556 and 266,220 is: 353,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,556 : 266,220 = 266,220 : x
  2. Step 2: Convert to fraction form
    200,556/266,220 = 266,220/x
  3. Step 3: Cross multiply
    200,556x = 266,220 × 266,220
  4. Step 4: Simplify right side
    200,556x = 70,873,088,400
  5. Step 5: Solve for x
    x = 70,873,088,400/200,556
  6. Step 6: Final answer
    x = 353,383.04

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.