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Finding the Third Proportional to 192,685.50 and 406,144.13

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Solution

The third proportional to 192,685.50 and 406,144.13 is: 856,074.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,685.50 : 406,144.13 = 406,144.13 : x
  2. Step 2: Convert to fraction form
    192,685.50/406,144.13 = 406,144.13/x
  3. Step 3: Cross multiply
    192,685.50x = 406,144.13 × 406,144.13
  4. Step 4: Simplify right side
    192,685.50x = 164,953,050,272.02
  5. Step 5: Solve for x
    x = 164,953,050,272.02/192,685.50
  6. Step 6: Final answer
    x = 856,074.02

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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.