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Finding the Third Proportional to 388,843.88 and 808,727.06

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Solution

The third proportional to 388,843.88 and 808,727.06 is: 1,682,010.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,843.88 : 808,727.06 = 808,727.06 : x
  2. Step 2: Convert to fraction form
    388,843.88/808,727.06 = 808,727.06/x
  3. Step 3: Cross multiply
    388,843.88x = 808,727.06 × 808,727.06
  4. Step 4: Simplify right side
    388,843.88x = 654,039,461,619.88
  5. Step 5: Solve for x
    x = 654,039,461,619.88/388,843.88
  6. Step 6: Final answer
    x = 1,682,010.45

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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.