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Finding the Third Proportional to 100,411 and 217,352

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Solution

The third proportional to 100,411 and 217,352 is: 470,485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,411 : 217,352 = 217,352 : x
  2. Step 2: Convert to fraction form
    100,411/217,352 = 217,352/x
  3. Step 3: Cross multiply
    100,411x = 217,352 × 217,352
  4. Step 4: Simplify right side
    100,411x = 47,241,891,904
  5. Step 5: Solve for x
    x = 47,241,891,904/100,411
  6. Step 6: Final answer
    x = 470,485.22

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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.