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Finding the Third Proportional to 210,669 and 298,089

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Solution

The third proportional to 210,669 and 298,089 is: 421,785.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,669 : 298,089 = 298,089 : x
  2. Step 2: Convert to fraction form
    210,669/298,089 = 298,089/x
  3. Step 3: Cross multiply
    210,669x = 298,089 × 298,089
  4. Step 4: Simplify right side
    210,669x = 88,857,051,921
  5. Step 5: Solve for x
    x = 88,857,051,921/210,669
  6. Step 6: Final answer
    x = 421,785.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.