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Finding the Third Proportional to 122,530.50 and 266,860.69

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Solution

The third proportional to 122,530.50 and 266,860.69 is: 581,199.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,530.50 : 266,860.69 = 266,860.69 : x
  2. Step 2: Convert to fraction form
    122,530.50/266,860.69 = 266,860.69/x
  3. Step 3: Cross multiply
    122,530.50x = 266,860.69 × 266,860.69
  4. Step 4: Simplify right side
    122,530.50x = 71,214,626,532.97
  5. Step 5: Solve for x
    x = 71,214,626,532.97/122,530.50
  6. Step 6: Final answer
    x = 581,199.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.