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Finding the Third Proportional to 382,099 and 830,538

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Solution

The third proportional to 382,099 and 830,538 is: 1,805,273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,099 : 830,538 = 830,538 : x
  2. Step 2: Convert to fraction form
    382,099/830,538 = 830,538/x
  3. Step 3: Cross multiply
    382,099x = 830,538 × 830,538
  4. Step 4: Simplify right side
    382,099x = 689,793,369,444
  5. Step 5: Solve for x
    x = 689,793,369,444/382,099
  6. Step 6: Final answer
    x = 1,805,273.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.