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Finding the Third Proportional to 394,146 and 816,312

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Solution

The third proportional to 394,146 and 816,312 is: 1,690,655.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,146 : 816,312 = 816,312 : x
  2. Step 2: Convert to fraction form
    394,146/816,312 = 816,312/x
  3. Step 3: Cross multiply
    394,146x = 816,312 × 816,312
  4. Step 4: Simplify right side
    394,146x = 666,365,281,344
  5. Step 5: Solve for x
    x = 666,365,281,344/394,146
  6. Step 6: Final answer
    x = 1,690,655.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.