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Finding the Third Proportional to 151,153 and 312,098

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Solution

The third proportional to 151,153 and 312,098 is: 644,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,153 : 312,098 = 312,098 : x
  2. Step 2: Convert to fraction form
    151,153/312,098 = 312,098/x
  3. Step 3: Cross multiply
    151,153x = 312,098 × 312,098
  4. Step 4: Simplify right side
    151,153x = 97,405,161,604
  5. Step 5: Solve for x
    x = 97,405,161,604/151,153
  6. Step 6: Final answer
    x = 644,414.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.