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Finding the Third Proportional to 206,656 and 432,009

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Solution

The third proportional to 206,656 and 432,009 is: 903,103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,656 : 432,009 = 432,009 : x
  2. Step 2: Convert to fraction form
    206,656/432,009 = 432,009/x
  3. Step 3: Cross multiply
    206,656x = 432,009 × 432,009
  4. Step 4: Simplify right side
    206,656x = 186,631,776,081
  5. Step 5: Solve for x
    x = 186,631,776,081/206,656
  6. Step 6: Final answer
    x = 903,103.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.