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Finding the Third Proportional to 388,842.25 and 808,723.25

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Solution

The third proportional to 388,842.25 and 808,723.25 is: 1,682,001.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,842.25 : 808,723.25 = 808,723.25 : x
  2. Step 2: Convert to fraction form
    388,842.25/808,723.25 = 808,723.25/x
  3. Step 3: Cross multiply
    388,842.25x = 808,723.25 × 808,723.25
  4. Step 4: Simplify right side
    388,842.25x = 654,033,295,090.56
  5. Step 5: Solve for x
    x = 654,033,295,090.56/388,842.25
  6. Step 6: Final answer
    x = 1,682,001.62

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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.