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Finding the Third Proportional to 380,608 and 819,680

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Solution

The third proportional to 380,608 and 819,680 is: 1,765,268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,608 : 819,680 = 819,680 : x
  2. Step 2: Convert to fraction form
    380,608/819,680 = 819,680/x
  3. Step 3: Cross multiply
    380,608x = 819,680 × 819,680
  4. Step 4: Simplify right side
    380,608x = 671,875,302,400
  5. Step 5: Solve for x
    x = 671,875,302,400/380,608
  6. Step 6: Final answer
    x = 1,765,268.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.