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Finding the Third Proportional to 130,958 and 285,905

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Solution

The third proportional to 130,958 and 285,905 is: 624,182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,958 : 285,905 = 285,905 : x
  2. Step 2: Convert to fraction form
    130,958/285,905 = 285,905/x
  3. Step 3: Cross multiply
    130,958x = 285,905 × 285,905
  4. Step 4: Simplify right side
    130,958x = 81,741,669,025
  5. Step 5: Solve for x
    x = 81,741,669,025/130,958
  6. Step 6: Final answer
    x = 624,182.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.