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Finding the Third Proportional to 122,357.25 and 251,302.50

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Solution

The third proportional to 122,357.25 and 251,302.50 is: 516,135.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,357.25 : 251,302.50 = 251,302.50 : x
  2. Step 2: Convert to fraction form
    122,357.25/251,302.50 = 251,302.50/x
  3. Step 3: Cross multiply
    122,357.25x = 251,302.50 × 251,302.50
  4. Step 4: Simplify right side
    122,357.25x = 63,152,946,506.25
  5. Step 5: Solve for x
    x = 63,152,946,506.25/122,357.25
  6. Step 6: Final answer
    x = 516,135.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.