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Finding the Third Proportional to 385,682 and 843,652

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Solution

The third proportional to 385,682 and 843,652 is: 1,845,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,682 : 843,652 = 843,652 : x
  2. Step 2: Convert to fraction form
    385,682/843,652 = 843,652/x
  3. Step 3: Cross multiply
    385,682x = 843,652 × 843,652
  4. Step 4: Simplify right side
    385,682x = 711,748,697,104
  5. Step 5: Solve for x
    x = 711,748,697,104/385,682
  6. Step 6: Final answer
    x = 1,845,428.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.