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Finding the Third Proportional to 122,218.88 and 255,598.88

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Solution

The third proportional to 122,218.88 and 255,598.88 is: 534,539.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,218.88 : 255,598.88 = 255,598.88 : x
  2. Step 2: Convert to fraction form
    122,218.88/255,598.88 = 255,598.88/x
  3. Step 3: Cross multiply
    122,218.88x = 255,598.88 × 255,598.88
  4. Step 4: Simplify right side
    122,218.88x = 65,330,784,901.27
  5. Step 5: Solve for x
    x = 65,330,784,901.27/122,218.88
  6. Step 6: Final answer
    x = 534,539.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.