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Finding the Third Proportional to 122,457 and 189,142

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Solution

The third proportional to 122,457 and 189,142 is: 292,140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,457 : 189,142 = 189,142 : x
  2. Step 2: Convert to fraction form
    122,457/189,142 = 189,142/x
  3. Step 3: Cross multiply
    122,457x = 189,142 × 189,142
  4. Step 4: Simplify right side
    122,457x = 35,774,696,164
  5. Step 5: Solve for x
    x = 35,774,696,164/122,457
  6. Step 6: Final answer
    x = 292,140.88

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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.