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Finding the Third Proportional to 205,616 and 306,717

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Solution

The third proportional to 205,616 and 306,717 is: 457,529.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,616 : 306,717 = 306,717 : x
  2. Step 2: Convert to fraction form
    205,616/306,717 = 306,717/x
  3. Step 3: Cross multiply
    205,616x = 306,717 × 306,717
  4. Step 4: Simplify right side
    205,616x = 94,075,318,089
  5. Step 5: Solve for x
    x = 94,075,318,089/205,616
  6. Step 6: Final answer
    x = 457,529.17

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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.