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Finding the Third Proportional to 196,888 and 421,784

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Solution

The third proportional to 196,888 and 421,784 is: 903,568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,888 : 421,784 = 421,784 : x
  2. Step 2: Convert to fraction form
    196,888/421,784 = 421,784/x
  3. Step 3: Cross multiply
    196,888x = 421,784 × 421,784
  4. Step 4: Simplify right side
    196,888x = 177,901,742,656
  5. Step 5: Solve for x
    x = 177,901,742,656/196,888
  6. Step 6: Final answer
    x = 903,568.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.