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Finding the Third Proportional to 134,584 and 208,977

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Solution

The third proportional to 134,584 and 208,977 is: 324,491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,584 : 208,977 = 208,977 : x
  2. Step 2: Convert to fraction form
    134,584/208,977 = 208,977/x
  3. Step 3: Cross multiply
    134,584x = 208,977 × 208,977
  4. Step 4: Simplify right side
    134,584x = 43,671,386,529
  5. Step 5: Solve for x
    x = 43,671,386,529/134,584
  6. Step 6: Final answer
    x = 324,491.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.