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Finding the Third Proportional to 100,216 and 213,428

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Solution

The third proportional to 100,216 and 213,428 is: 454,533.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,216 : 213,428 = 213,428 : x
  2. Step 2: Convert to fraction form
    100,216/213,428 = 213,428/x
  3. Step 3: Cross multiply
    100,216x = 213,428 × 213,428
  4. Step 4: Simplify right side
    100,216x = 45,551,511,184
  5. Step 5: Solve for x
    x = 45,551,511,184/100,216
  6. Step 6: Final answer
    x = 454,533.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.