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Finding the Third Proportional to 146,052 and 310,936

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Solution

The third proportional to 146,052 and 310,936 is: 661,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,052 : 310,936 = 310,936 : x
  2. Step 2: Convert to fraction form
    146,052/310,936 = 310,936/x
  3. Step 3: Cross multiply
    146,052x = 310,936 × 310,936
  4. Step 4: Simplify right side
    146,052x = 96,681,196,096
  5. Step 5: Solve for x
    x = 96,681,196,096/146,052
  6. Step 6: Final answer
    x = 661,964.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.