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Finding the Third Proportional to 388,842.75 and 808,724.25

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Solution

The third proportional to 388,842.75 and 808,724.25 is: 1,682,003.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,842.75 : 808,724.25 = 808,724.25 : x
  2. Step 2: Convert to fraction form
    388,842.75/808,724.25 = 808,724.25/x
  3. Step 3: Cross multiply
    388,842.75x = 808,724.25 × 808,724.25
  4. Step 4: Simplify right side
    388,842.75x = 654,034,912,538.06
  5. Step 5: Solve for x
    x = 654,034,912,538.06/388,842.75
  6. Step 6: Final answer
    x = 1,682,003.62

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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.