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Finding the Third Proportional to 122,116 and 257,352

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Solution

The third proportional to 122,116 and 257,352 is: 542,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,116 : 257,352 = 257,352 : x
  2. Step 2: Convert to fraction form
    122,116/257,352 = 257,352/x
  3. Step 3: Cross multiply
    122,116x = 257,352 × 257,352
  4. Step 4: Simplify right side
    122,116x = 66,230,051,904
  5. Step 5: Solve for x
    x = 66,230,051,904/122,116
  6. Step 6: Final answer
    x = 542,353.60

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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.