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Finding the Third Proportional to 103,206 and 210,784

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Solution

The third proportional to 103,206 and 210,784 is: 430,497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,206 : 210,784 = 210,784 : x
  2. Step 2: Convert to fraction form
    103,206/210,784 = 210,784/x
  3. Step 3: Cross multiply
    103,206x = 210,784 × 210,784
  4. Step 4: Simplify right side
    103,206x = 44,429,894,656
  5. Step 5: Solve for x
    x = 44,429,894,656/103,206
  6. Step 6: Final answer
    x = 430,497.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.