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Finding the Third Proportional to 385,614.75 and 830,427

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Solution

The third proportional to 385,614.75 and 830,427 is: 1,788,336.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,614.75 : 830,427 = 830,427 : x
  2. Step 2: Convert to fraction form
    385,614.75/830,427 = 830,427/x
  3. Step 3: Cross multiply
    385,614.75x = 830,427 × 830,427
  4. Step 4: Simplify right side
    385,614.75x = 689,609,002,329
  5. Step 5: Solve for x
    x = 689,609,002,329/385,614.75
  6. Step 6: Final answer
    x = 1,788,336.68

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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.