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Finding the Third Proportional to 380,596 and 829,000

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Solution

The third proportional to 380,596 and 829,000 is: 1,805,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,596 : 829,000 = 829,000 : x
  2. Step 2: Convert to fraction form
    380,596/829,000 = 829,000/x
  3. Step 3: Cross multiply
    380,596x = 829,000 × 829,000
  4. Step 4: Simplify right side
    380,596x = 687,241,000,000
  5. Step 5: Solve for x
    x = 687,241,000,000/380,596
  6. Step 6: Final answer
    x = 1,805,696.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.