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Finding the Third Proportional to 100,411 and 209,146

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Solution

The third proportional to 100,411 and 209,146 is: 435,630.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,411 : 209,146 = 209,146 : x
  2. Step 2: Convert to fraction form
    100,411/209,146 = 209,146/x
  3. Step 3: Cross multiply
    100,411x = 209,146 × 209,146
  4. Step 4: Simplify right side
    100,411x = 43,742,049,316
  5. Step 5: Solve for x
    x = 43,742,049,316/100,411
  6. Step 6: Final answer
    x = 435,630.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.