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Finding the Third Proportional to 385,134 and 831,165.75

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Solution

The third proportional to 385,134 and 831,165.75 is: 1,793,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,134 : 831,165.75 = 831,165.75 : x
  2. Step 2: Convert to fraction form
    385,134/831,165.75 = 831,165.75/x
  3. Step 3: Cross multiply
    385,134x = 831,165.75 × 831,165.75
  4. Step 4: Simplify right side
    385,134x = 690,836,503,973.06
  5. Step 5: Solve for x
    x = 690,836,503,973.06/385,134
  6. Step 6: Final answer
    x = 1,793,756.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.