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Finding the Third Proportional to 205,816 and 310,902

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Solution

The third proportional to 205,816 and 310,902 is: 469,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,816 : 310,902 = 310,902 : x
  2. Step 2: Convert to fraction form
    205,816/310,902 = 310,902/x
  3. Step 3: Cross multiply
    205,816x = 310,902 × 310,902
  4. Step 4: Simplify right side
    205,816x = 96,660,053,604
  5. Step 5: Solve for x
    x = 96,660,053,604/205,816
  6. Step 6: Final answer
    x = 469,643.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.