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Finding the Third Proportional to 100,217 and 216,101

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Solution

The third proportional to 100,217 and 216,101 is: 465,985.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,217 : 216,101 = 216,101 : x
  2. Step 2: Convert to fraction form
    100,217/216,101 = 216,101/x
  3. Step 3: Cross multiply
    100,217x = 216,101 × 216,101
  4. Step 4: Simplify right side
    100,217x = 46,699,642,201
  5. Step 5: Solve for x
    x = 46,699,642,201/100,217
  6. Step 6: Final answer
    x = 465,985.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.