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Finding the Third Proportional to 386,729 and 830,584

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Solution

The third proportional to 386,729 and 830,584 is: 1,783,858.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,729 : 830,584 = 830,584 : x
  2. Step 2: Convert to fraction form
    386,729/830,584 = 830,584/x
  3. Step 3: Cross multiply
    386,729x = 830,584 × 830,584
  4. Step 4: Simplify right side
    386,729x = 689,869,781,056
  5. Step 5: Solve for x
    x = 689,869,781,056/386,729
  6. Step 6: Final answer
    x = 1,783,858.42

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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.