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Finding the Third Proportional to 122,118.50 and 257,357

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Solution

The third proportional to 122,118.50 and 257,357 is: 542,363.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,118.50 : 257,357 = 257,357 : x
  2. Step 2: Convert to fraction form
    122,118.50/257,357 = 257,357/x
  3. Step 3: Cross multiply
    122,118.50x = 257,357 × 257,357
  4. Step 4: Simplify right side
    122,118.50x = 66,232,625,449
  5. Step 5: Solve for x
    x = 66,232,625,449/122,118.50
  6. Step 6: Final answer
    x = 542,363.57

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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.