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Finding the Third Proportional to 122,112 and 257,344

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Solution

The third proportional to 122,112 and 257,344 is: 542,337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,112 : 257,344 = 257,344 : x
  2. Step 2: Convert to fraction form
    122,112/257,344 = 257,344/x
  3. Step 3: Cross multiply
    122,112x = 257,344 × 257,344
  4. Step 4: Simplify right side
    122,112x = 66,225,934,336
  5. Step 5: Solve for x
    x = 66,225,934,336/122,112
  6. Step 6: Final answer
    x = 542,337.64

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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.