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Finding the Third Proportional to 394,308 and 611,685

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Solution

The third proportional to 394,308 and 611,685 is: 948,899.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,308 : 611,685 = 611,685 : x
  2. Step 2: Convert to fraction form
    394,308/611,685 = 611,685/x
  3. Step 3: Cross multiply
    394,308x = 611,685 × 611,685
  4. Step 4: Simplify right side
    394,308x = 374,158,539,225
  5. Step 5: Solve for x
    x = 374,158,539,225/394,308
  6. Step 6: Final answer
    x = 948,899.18

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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.