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Finding the Third Proportional to 149,018 and 324,316

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Solution

The third proportional to 149,018 and 324,316 is: 705,826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,018 : 324,316 = 324,316 : x
  2. Step 2: Convert to fraction form
    149,018/324,316 = 324,316/x
  3. Step 3: Cross multiply
    149,018x = 324,316 × 324,316
  4. Step 4: Simplify right side
    149,018x = 105,180,867,856
  5. Step 5: Solve for x
    x = 105,180,867,856/149,018
  6. Step 6: Final answer
    x = 705,826.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.