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Finding the Third Proportional to 385,677 and 790,146

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Solution

The third proportional to 385,677 and 790,146 is: 1,618,791.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,677 : 790,146 = 790,146 : x
  2. Step 2: Convert to fraction form
    385,677/790,146 = 790,146/x
  3. Step 3: Cross multiply
    385,677x = 790,146 × 790,146
  4. Step 4: Simplify right side
    385,677x = 624,330,701,316
  5. Step 5: Solve for x
    x = 624,330,701,316/385,677
  6. Step 6: Final answer
    x = 1,618,791.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.