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Finding the Third Proportional to 103,911 and 161,213

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Solution

The third proportional to 103,911 and 161,213 is: 250,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,911 : 161,213 = 161,213 : x
  2. Step 2: Convert to fraction form
    103,911/161,213 = 161,213/x
  3. Step 3: Cross multiply
    103,911x = 161,213 × 161,213
  4. Step 4: Simplify right side
    103,911x = 25,989,631,369
  5. Step 5: Solve for x
    x = 25,989,631,369/103,911
  6. Step 6: Final answer
    x = 250,114.34

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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.