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Finding the Third Proportional to 100,988 and 212,128

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Solution

The third proportional to 100,988 and 212,128 is: 445,580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,988 : 212,128 = 212,128 : x
  2. Step 2: Convert to fraction form
    100,988/212,128 = 212,128/x
  3. Step 3: Cross multiply
    100,988x = 212,128 × 212,128
  4. Step 4: Simplify right side
    100,988x = 44,998,288,384
  5. Step 5: Solve for x
    x = 44,998,288,384/100,988
  6. Step 6: Final answer
    x = 445,580.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.