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Finding the Third Proportional to 100,570 and 213,988

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Solution

The third proportional to 100,570 and 213,988 is: 455,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,570 : 213,988 = 213,988 : x
  2. Step 2: Convert to fraction form
    100,570/213,988 = 213,988/x
  3. Step 3: Cross multiply
    100,570x = 213,988 × 213,988
  4. Step 4: Simplify right side
    100,570x = 45,790,864,144
  5. Step 5: Solve for x
    x = 45,790,864,144/100,570
  6. Step 6: Final answer
    x = 455,313.36

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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.