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Finding the Third Proportional to 102,411 and 221,886

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Solution

The third proportional to 102,411 and 221,886 is: 480,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,411 : 221,886 = 221,886 : x
  2. Step 2: Convert to fraction form
    102,411/221,886 = 221,886/x
  3. Step 3: Cross multiply
    102,411x = 221,886 × 221,886
  4. Step 4: Simplify right side
    102,411x = 49,233,396,996
  5. Step 5: Solve for x
    x = 49,233,396,996/102,411
  6. Step 6: Final answer
    x = 480,743.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.