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Finding the Third Proportional to 202,490 and 321,820

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Solution

The third proportional to 202,490 and 321,820 is: 511,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,490 : 321,820 = 321,820 : x
  2. Step 2: Convert to fraction form
    202,490/321,820 = 321,820/x
  3. Step 3: Cross multiply
    202,490x = 321,820 × 321,820
  4. Step 4: Simplify right side
    202,490x = 103,568,112,400
  5. Step 5: Solve for x
    x = 103,568,112,400/202,490
  6. Step 6: Final answer
    x = 511,472.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.