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Finding the Third Proportional to 205,620 and 306,723

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Solution

The third proportional to 205,620 and 306,723 is: 457,538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,620 : 306,723 = 306,723 : x
  2. Step 2: Convert to fraction form
    205,620/306,723 = 306,723/x
  3. Step 3: Cross multiply
    205,620x = 306,723 × 306,723
  4. Step 4: Simplify right side
    205,620x = 94,078,998,729
  5. Step 5: Solve for x
    x = 94,078,998,729/205,620
  6. Step 6: Final answer
    x = 457,538.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.