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Finding the Third Proportional to 394,310 and 611,688

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Solution

The third proportional to 394,310 and 611,688 is: 948,903.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,310 : 611,688 = 611,688 : x
  2. Step 2: Convert to fraction form
    394,310/611,688 = 611,688/x
  3. Step 3: Cross multiply
    394,310x = 611,688 × 611,688
  4. Step 4: Simplify right side
    394,310x = 374,162,209,344
  5. Step 5: Solve for x
    x = 374,162,209,344/394,310
  6. Step 6: Final answer
    x = 948,903.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.