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Finding the Third Proportional to 385,839.75 and 830,940.94

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Solution

The third proportional to 385,839.75 and 830,940.94 is: 1,789,506.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,839.75 : 830,940.94 = 830,940.94 : x
  2. Step 2: Convert to fraction form
    385,839.75/830,940.94 = 830,940.94/x
  3. Step 3: Cross multiply
    385,839.75x = 830,940.94 × 830,940.94
  4. Step 4: Simplify right side
    385,839.75x = 690,462,841,613.38
  5. Step 5: Solve for x
    x = 690,462,841,613.38/385,839.75
  6. Step 6: Final answer
    x = 1,789,506.76

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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.