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Finding the Third Proportional to 202,464 and 321,780

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Solution

The third proportional to 202,464 and 321,780 is: 511,411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,464 : 321,780 = 321,780 : x
  2. Step 2: Convert to fraction form
    202,464/321,780 = 321,780/x
  3. Step 3: Cross multiply
    202,464x = 321,780 × 321,780
  4. Step 4: Simplify right side
    202,464x = 103,542,368,400
  5. Step 5: Solve for x
    x = 103,542,368,400/202,464
  6. Step 6: Final answer
    x = 511,411.26

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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.