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Finding the Third Proportional to 205,716 and 308,574

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Solution

The third proportional to 205,716 and 308,574 is: 462,861

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,716 : 308,574 = 308,574 : x
  2. Step 2: Convert to fraction form
    205,716/308,574 = 308,574/x
  3. Step 3: Cross multiply
    205,716x = 308,574 × 308,574
  4. Step 4: Simplify right side
    205,716x = 95,217,913,476
  5. Step 5: Solve for x
    x = 95,217,913,476/205,716
  6. Step 6: Final answer
    x = 462,861

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.