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Finding the Third Proportional to 388,844 and 808,727

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Solution

The third proportional to 388,844 and 808,727 is: 1,682,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,844 : 808,727 = 808,727 : x
  2. Step 2: Convert to fraction form
    388,844/808,727 = 808,727/x
  3. Step 3: Cross multiply
    388,844x = 808,727 × 808,727
  4. Step 4: Simplify right side
    388,844x = 654,039,360,529
  5. Step 5: Solve for x
    x = 654,039,360,529/388,844
  6. Step 6: Final answer
    x = 1,682,009.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.