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Finding the Third Proportional to 100,321 and 208,417

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Solution

The third proportional to 100,321 and 208,417 is: 432,986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,321 : 208,417 = 208,417 : x
  2. Step 2: Convert to fraction form
    100,321/208,417 = 208,417/x
  3. Step 3: Cross multiply
    100,321x = 208,417 × 208,417
  4. Step 4: Simplify right side
    100,321x = 43,437,645,889
  5. Step 5: Solve for x
    x = 43,437,645,889/100,321
  6. Step 6: Final answer
    x = 432,986.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.