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Finding the Third Proportional to 103,987 and 212,900

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Solution

The third proportional to 103,987 and 212,900 is: 435,885.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,987 : 212,900 = 212,900 : x
  2. Step 2: Convert to fraction form
    103,987/212,900 = 212,900/x
  3. Step 3: Cross multiply
    103,987x = 212,900 × 212,900
  4. Step 4: Simplify right side
    103,987x = 45,326,410,000
  5. Step 5: Solve for x
    x = 45,326,410,000/103,987
  6. Step 6: Final answer
    x = 435,885.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.