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Finding the Third Proportional to 388,663 and 836,942

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Solution

The third proportional to 388,663 and 836,942 is: 1,802,260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,663 : 836,942 = 836,942 : x
  2. Step 2: Convert to fraction form
    388,663/836,942 = 836,942/x
  3. Step 3: Cross multiply
    388,663x = 836,942 × 836,942
  4. Step 4: Simplify right side
    388,663x = 700,471,911,364
  5. Step 5: Solve for x
    x = 700,471,911,364/388,663
  6. Step 6: Final answer
    x = 1,802,260.34

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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.