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Finding the Third Proportional to 206,142 and 437,556

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Solution

The third proportional to 206,142 and 437,556 is: 928,754.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,142 : 437,556 = 437,556 : x
  2. Step 2: Convert to fraction form
    206,142/437,556 = 437,556/x
  3. Step 3: Cross multiply
    206,142x = 437,556 × 437,556
  4. Step 4: Simplify right side
    206,142x = 191,455,253,136
  5. Step 5: Solve for x
    x = 191,455,253,136/206,142
  6. Step 6: Final answer
    x = 928,754.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.