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Finding the Third Proportional to 388,370 and 833,620

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Solution

The third proportional to 388,370 and 833,620 is: 1,789,330.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,370 : 833,620 = 833,620 : x
  2. Step 2: Convert to fraction form
    388,370/833,620 = 833,620/x
  3. Step 3: Cross multiply
    388,370x = 833,620 × 833,620
  4. Step 4: Simplify right side
    388,370x = 694,922,304,400
  5. Step 5: Solve for x
    x = 694,922,304,400/388,370
  6. Step 6: Final answer
    x = 1,789,330.55

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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.