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Finding the Third Proportional to 394,254 and 617,654.25

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Solution

The third proportional to 394,254 and 617,654.25 is: 967,642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,254 : 617,654.25 = 617,654.25 : x
  2. Step 2: Convert to fraction form
    394,254/617,654.25 = 617,654.25/x
  3. Step 3: Cross multiply
    394,254x = 617,654.25 × 617,654.25
  4. Step 4: Simplify right side
    394,254x = 381,496,772,543.06
  5. Step 5: Solve for x
    x = 381,496,772,543.06/394,254
  6. Step 6: Final answer
    x = 967,642.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.