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Finding the Third Proportional to 100,480 and 211,301

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Solution

The third proportional to 100,480 and 211,301 is: 444,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,480 : 211,301 = 211,301 : x
  2. Step 2: Convert to fraction form
    100,480/211,301 = 211,301/x
  3. Step 3: Cross multiply
    100,480x = 211,301 × 211,301
  4. Step 4: Simplify right side
    100,480x = 44,648,112,601
  5. Step 5: Solve for x
    x = 44,648,112,601/100,480
  6. Step 6: Final answer
    x = 444,348.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.