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Finding the Third Proportional to 385,727 and 790,246

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Solution

The third proportional to 385,727 and 790,246 is: 1,618,991.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,727 : 790,246 = 790,246 : x
  2. Step 2: Convert to fraction form
    385,727/790,246 = 790,246/x
  3. Step 3: Cross multiply
    385,727x = 790,246 × 790,246
  4. Step 4: Simplify right side
    385,727x = 624,488,740,516
  5. Step 5: Solve for x
    x = 624,488,740,516/385,727
  6. Step 6: Final answer
    x = 1,618,991.52

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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.