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Finding the Third Proportional to 100,293 and 213,582

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Solution

The third proportional to 100,293 and 213,582 is: 454,840.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,293 : 213,582 = 213,582 : x
  2. Step 2: Convert to fraction form
    100,293/213,582 = 213,582/x
  3. Step 3: Cross multiply
    100,293x = 213,582 × 213,582
  4. Step 4: Simplify right side
    100,293x = 45,617,270,724
  5. Step 5: Solve for x
    x = 45,617,270,724/100,293
  6. Step 6: Final answer
    x = 454,840.03

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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.