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Finding the Third Proportional to 151,159 and 312,110

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Solution

The third proportional to 151,159 and 312,110 is: 644,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,159 : 312,110 = 312,110 : x
  2. Step 2: Convert to fraction form
    151,159/312,110 = 312,110/x
  3. Step 3: Cross multiply
    151,159x = 312,110 × 312,110
  4. Step 4: Simplify right side
    151,159x = 97,412,652,100
  5. Step 5: Solve for x
    x = 97,412,652,100/151,159
  6. Step 6: Final answer
    x = 644,438.32

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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.