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Finding the Third Proportional to 394,159 and 608,705

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Solution

The third proportional to 394,159 and 608,705 is: 940,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,159 : 608,705 = 608,705 : x
  2. Step 2: Convert to fraction form
    394,159/608,705 = 608,705/x
  3. Step 3: Cross multiply
    394,159x = 608,705 × 608,705
  4. Step 4: Simplify right side
    394,159x = 370,521,777,025
  5. Step 5: Solve for x
    x = 370,521,777,025/394,159
  6. Step 6: Final answer
    x = 940,031.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.