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Finding the Third Proportional to 122,951 and 189,071

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Solution

The third proportional to 122,951 and 189,071 is: 290,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,951 : 189,071 = 189,071 : x
  2. Step 2: Convert to fraction form
    122,951/189,071 = 189,071/x
  3. Step 3: Cross multiply
    122,951x = 189,071 × 189,071
  4. Step 4: Simplify right side
    122,951x = 35,747,843,041
  5. Step 5: Solve for x
    x = 35,747,843,041/122,951
  6. Step 6: Final answer
    x = 290,748.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.