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Finding the Third Proportional to 205,072 and 321,048

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Solution

The third proportional to 205,072 and 321,048 is: 502,612.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,072 : 321,048 = 321,048 : x
  2. Step 2: Convert to fraction form
    205,072/321,048 = 321,048/x
  3. Step 3: Cross multiply
    205,072x = 321,048 × 321,048
  4. Step 4: Simplify right side
    205,072x = 103,071,818,304
  5. Step 5: Solve for x
    x = 103,071,818,304/205,072
  6. Step 6: Final answer
    x = 502,612.83

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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.