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Finding the Third Proportional to 150,856 and 312,146

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Solution

The third proportional to 150,856 and 312,146 is: 645,881.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,856 : 312,146 = 312,146 : x
  2. Step 2: Convert to fraction form
    150,856/312,146 = 312,146/x
  3. Step 3: Cross multiply
    150,856x = 312,146 × 312,146
  4. Step 4: Simplify right side
    150,856x = 97,435,125,316
  5. Step 5: Solve for x
    x = 97,435,125,316/150,856
  6. Step 6: Final answer
    x = 645,881.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.