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Finding the Third Proportional to 205,726 and 436,724

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Solution

The third proportional to 205,726 and 436,724 is: 927,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,726 : 436,724 = 436,724 : x
  2. Step 2: Convert to fraction form
    205,726/436,724 = 436,724/x
  3. Step 3: Cross multiply
    205,726x = 436,724 × 436,724
  4. Step 4: Simplify right side
    205,726x = 190,727,852,176
  5. Step 5: Solve for x
    x = 190,727,852,176/205,726
  6. Step 6: Final answer
    x = 927,096.49

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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.