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Finding the Third Proportional to 385,843 and 830,948

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Solution

The third proportional to 385,843 and 830,948 is: 1,789,522.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,843 : 830,948 = 830,948 : x
  2. Step 2: Convert to fraction form
    385,843/830,948 = 830,948/x
  3. Step 3: Cross multiply
    385,843x = 830,948 × 830,948
  4. Step 4: Simplify right side
    385,843x = 690,474,578,704
  5. Step 5: Solve for x
    x = 690,474,578,704/385,843
  6. Step 6: Final answer
    x = 1,789,522.11

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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.