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Finding the Third Proportional to 151,154 and 312,100

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Solution

The third proportional to 151,154 and 312,100 is: 644,418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,154 : 312,100 = 312,100 : x
  2. Step 2: Convert to fraction form
    151,154/312,100 = 312,100/x
  3. Step 3: Cross multiply
    151,154x = 312,100 × 312,100
  4. Step 4: Simplify right side
    151,154x = 97,406,410,000
  5. Step 5: Solve for x
    x = 97,406,410,000/151,154
  6. Step 6: Final answer
    x = 644,418.34

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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.