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Finding the Third Proportional to 164,212 and 355,411

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Solution

The third proportional to 164,212 and 355,411 is: 769,231.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,212 : 355,411 = 355,411 : x
  2. Step 2: Convert to fraction form
    164,212/355,411 = 355,411/x
  3. Step 3: Cross multiply
    164,212x = 355,411 × 355,411
  4. Step 4: Simplify right side
    164,212x = 126,316,978,921
  5. Step 5: Solve for x
    x = 126,316,978,921/164,212
  6. Step 6: Final answer
    x = 769,231.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.