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Finding the Third Proportional to 385,841.25 and 830,943.75

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Solution

The third proportional to 385,841.25 and 830,943.75 is: 1,789,511.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,841.25 : 830,943.75 = 830,943.75 : x
  2. Step 2: Convert to fraction form
    385,841.25/830,943.75 = 830,943.75/x
  3. Step 3: Cross multiply
    385,841.25x = 830,943.75 × 830,943.75
  4. Step 4: Simplify right side
    385,841.25x = 690,467,515,664.06
  5. Step 5: Solve for x
    x = 690,467,515,664.06/385,841.25
  6. Step 6: Final answer
    x = 1,789,511.92

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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.