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Finding the Third Proportional to 122,918.50 and 168,220.50

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Solution

The third proportional to 122,918.50 and 168,220.50 is: 230,218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,918.50 : 168,220.50 = 168,220.50 : x
  2. Step 2: Convert to fraction form
    122,918.50/168,220.50 = 168,220.50/x
  3. Step 3: Cross multiply
    122,918.50x = 168,220.50 × 168,220.50
  4. Step 4: Simplify right side
    122,918.50x = 28,298,136,620.25
  5. Step 5: Solve for x
    x = 28,298,136,620.25/122,918.50
  6. Step 6: Final answer
    x = 230,218.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.