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Finding the Third Proportional to 205,512 and 322,470

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Solution

The third proportional to 205,512 and 322,470 is: 505,989.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,512 : 322,470 = 322,470 : x
  2. Step 2: Convert to fraction form
    205,512/322,470 = 322,470/x
  3. Step 3: Cross multiply
    205,512x = 322,470 × 322,470
  4. Step 4: Simplify right side
    205,512x = 103,986,900,900
  5. Step 5: Solve for x
    x = 103,986,900,900/205,512
  6. Step 6: Final answer
    x = 505,989.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.