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Finding the Third Proportional to 363,364 and 781,976

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Solution

The third proportional to 363,364 and 781,976 is: 1,682,848.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,364 : 781,976 = 781,976 : x
  2. Step 2: Convert to fraction form
    363,364/781,976 = 781,976/x
  3. Step 3: Cross multiply
    363,364x = 781,976 × 781,976
  4. Step 4: Simplify right side
    363,364x = 611,486,464,576
  5. Step 5: Solve for x
    x = 611,486,464,576/363,364
  6. Step 6: Final answer
    x = 1,682,848.23

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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.