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Finding the Third Proportional to 210,180 and 289,020

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Solution

The third proportional to 210,180 and 289,020 is: 397,433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,180 : 289,020 = 289,020 : x
  2. Step 2: Convert to fraction form
    210,180/289,020 = 289,020/x
  3. Step 3: Cross multiply
    210,180x = 289,020 × 289,020
  4. Step 4: Simplify right side
    210,180x = 83,532,560,400
  5. Step 5: Solve for x
    x = 83,532,560,400/210,180
  6. Step 6: Final answer
    x = 397,433.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.