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Finding the Third Proportional to 98,901 and 212,301

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Solution

The third proportional to 98,901 and 212,301 is: 455,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,901 : 212,301 = 212,301 : x
  2. Step 2: Convert to fraction form
    98,901/212,301 = 212,301/x
  3. Step 3: Cross multiply
    98,901x = 212,301 × 212,301
  4. Step 4: Simplify right side
    98,901x = 45,071,714,601
  5. Step 5: Solve for x
    x = 45,071,714,601/98,901
  6. Step 6: Final answer
    x = 455,725.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.