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Finding the Third Proportional to 122,114 and 257,348

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Solution

The third proportional to 122,114 and 257,348 is: 542,345.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,114 : 257,348 = 257,348 : x
  2. Step 2: Convert to fraction form
    122,114/257,348 = 257,348/x
  3. Step 3: Cross multiply
    122,114x = 257,348 × 257,348
  4. Step 4: Simplify right side
    122,114x = 66,227,993,104
  5. Step 5: Solve for x
    x = 66,227,993,104/122,114
  6. Step 6: Final answer
    x = 542,345.62

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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.