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Finding the Third Proportional to 98,774 and 212,990

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Solution

The third proportional to 98,774 and 212,990 is: 459,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,774 : 212,990 = 212,990 : x
  2. Step 2: Convert to fraction form
    98,774/212,990 = 212,990/x
  3. Step 3: Cross multiply
    98,774x = 212,990 × 212,990
  4. Step 4: Simplify right side
    98,774x = 45,364,740,100
  5. Step 5: Solve for x
    x = 45,364,740,100/98,774
  6. Step 6: Final answer
    x = 459,278.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.