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Finding the Third Proportional to 121,517 and 189,953

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Solution

The third proportional to 121,517 and 189,953 is: 296,930.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,517 : 189,953 = 189,953 : x
  2. Step 2: Convert to fraction form
    121,517/189,953 = 189,953/x
  3. Step 3: Cross multiply
    121,517x = 189,953 × 189,953
  4. Step 4: Simplify right side
    121,517x = 36,082,142,209
  5. Step 5: Solve for x
    x = 36,082,142,209/121,517
  6. Step 6: Final answer
    x = 296,930.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.