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Finding the Third Proportional to 385,662.94 and 830,591.44

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Solution

The third proportional to 385,662.94 and 830,591.44 is: 1,788,821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,662.94 : 830,591.44 = 830,591.44 : x
  2. Step 2: Convert to fraction form
    385,662.94/830,591.44 = 830,591.44/x
  3. Step 3: Cross multiply
    385,662.94x = 830,591.44 × 830,591.44
  4. Step 4: Simplify right side
    385,662.94x = 689,882,136,048.32
  5. Step 5: Solve for x
    x = 689,882,136,048.32/385,662.94
  6. Step 6: Final answer
    x = 1,788,821.45

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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.