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Finding the Third Proportional to 100,369 and 218,071

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Solution

The third proportional to 100,369 and 218,071 is: 473,801.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,369 : 218,071 = 218,071 : x
  2. Step 2: Convert to fraction form
    100,369/218,071 = 218,071/x
  3. Step 3: Cross multiply
    100,369x = 218,071 × 218,071
  4. Step 4: Simplify right side
    100,369x = 47,554,961,041
  5. Step 5: Solve for x
    x = 47,554,961,041/100,369
  6. Step 6: Final answer
    x = 473,801.28

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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.