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Finding the Third Proportional to 388,412 and 830,794

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Solution

The third proportional to 388,412 and 830,794 is: 1,777,027.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,412 : 830,794 = 830,794 : x
  2. Step 2: Convert to fraction form
    388,412/830,794 = 830,794/x
  3. Step 3: Cross multiply
    388,412x = 830,794 × 830,794
  4. Step 4: Simplify right side
    388,412x = 690,218,670,436
  5. Step 5: Solve for x
    x = 690,218,670,436/388,412
  6. Step 6: Final answer
    x = 1,777,027.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.