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Finding the Third Proportional to 177,670.13 and 388,555.13

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Solution

The third proportional to 177,670.13 and 388,555.13 is: 849,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,670.13 : 388,555.13 = 388,555.13 : x
  2. Step 2: Convert to fraction form
    177,670.13/388,555.13 = 388,555.13/x
  3. Step 3: Cross multiply
    177,670.13x = 388,555.13 × 388,555.13
  4. Step 4: Simplify right side
    177,670.13x = 150,975,085,163.77
  5. Step 5: Solve for x
    x = 150,975,085,163.77/177,670.13
  6. Step 6: Final answer
    x = 849,749.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.