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Finding the Third Proportional to 202,488 and 321,817

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Solution

The third proportional to 202,488 and 321,817 is: 511,468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,488 : 321,817 = 321,817 : x
  2. Step 2: Convert to fraction form
    202,488/321,817 = 321,817/x
  3. Step 3: Cross multiply
    202,488x = 321,817 × 321,817
  4. Step 4: Simplify right side
    202,488x = 103,566,181,489
  5. Step 5: Solve for x
    x = 103,566,181,489/202,488
  6. Step 6: Final answer
    x = 511,468.24

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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.