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Finding the Third Proportional to 206,653 and 438,104

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Solution

The third proportional to 206,653 and 438,104 is: 928,779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,653 : 438,104 = 438,104 : x
  2. Step 2: Convert to fraction form
    206,653/438,104 = 438,104/x
  3. Step 3: Cross multiply
    206,653x = 438,104 × 438,104
  4. Step 4: Simplify right side
    206,653x = 191,935,114,816
  5. Step 5: Solve for x
    x = 191,935,114,816/206,653
  6. Step 6: Final answer
    x = 928,779.72

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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.