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Finding the Third Proportional to 206,070 and 437,412

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Solution

The third proportional to 206,070 and 437,412 is: 928,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,070 : 437,412 = 437,412 : x
  2. Step 2: Convert to fraction form
    206,070/437,412 = 437,412/x
  3. Step 3: Cross multiply
    206,070x = 437,412 × 437,412
  4. Step 4: Simplify right side
    206,070x = 191,329,257,744
  5. Step 5: Solve for x
    x = 191,329,257,744/206,070
  6. Step 6: Final answer
    x = 928,467.31

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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.