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Finding the Third Proportional to 100,971 and 218,657

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Solution

The third proportional to 100,971 and 218,657 is: 473,511.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,971 : 218,657 = 218,657 : x
  2. Step 2: Convert to fraction form
    100,971/218,657 = 218,657/x
  3. Step 3: Cross multiply
    100,971x = 218,657 × 218,657
  4. Step 4: Simplify right side
    100,971x = 47,810,883,649
  5. Step 5: Solve for x
    x = 47,810,883,649/100,971
  6. Step 6: Final answer
    x = 473,511.04

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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.