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Finding the Third Proportional to 100,971 and 208,511

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Solution

The third proportional to 100,971 and 208,511 is: 430,587.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,971 : 208,511 = 208,511 : x
  2. Step 2: Convert to fraction form
    100,971/208,511 = 208,511/x
  3. Step 3: Cross multiply
    100,971x = 208,511 × 208,511
  4. Step 4: Simplify right side
    100,971x = 43,476,837,121
  5. Step 5: Solve for x
    x = 43,476,837,121/100,971
  6. Step 6: Final answer
    x = 430,587.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.