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Finding the Third Proportional to 98,868 and 210,860

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Solution

The third proportional to 98,868 and 210,860 is: 449,710.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,868 : 210,860 = 210,860 : x
  2. Step 2: Convert to fraction form
    98,868/210,860 = 210,860/x
  3. Step 3: Cross multiply
    98,868x = 210,860 × 210,860
  4. Step 4: Simplify right side
    98,868x = 44,461,939,600
  5. Step 5: Solve for x
    x = 44,461,939,600/98,868
  6. Step 6: Final answer
    x = 449,710.11

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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.