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Finding the Third Proportional to 108,911 and 173,415

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Solution

The third proportional to 108,911 and 173,415 is: 276,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,911 : 173,415 = 173,415 : x
  2. Step 2: Convert to fraction form
    108,911/173,415 = 173,415/x
  3. Step 3: Cross multiply
    108,911x = 173,415 × 173,415
  4. Step 4: Simplify right side
    108,911x = 30,072,762,225
  5. Step 5: Solve for x
    x = 30,072,762,225/108,911
  6. Step 6: Final answer
    x = 276,122.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.