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Finding the Third Proportional to 122,330 and 257,944

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Solution

The third proportional to 122,330 and 257,944 is: 543,898.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,330 : 257,944 = 257,944 : x
  2. Step 2: Convert to fraction form
    122,330/257,944 = 257,944/x
  3. Step 3: Cross multiply
    122,330x = 257,944 × 257,944
  4. Step 4: Simplify right side
    122,330x = 66,535,107,136
  5. Step 5: Solve for x
    x = 66,535,107,136/122,330
  6. Step 6: Final answer
    x = 543,898.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.