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Finding the Third Proportional to 177,444 and 388,908

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Solution

The third proportional to 177,444 and 388,908 is: 852,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,444 : 388,908 = 388,908 : x
  2. Step 2: Convert to fraction form
    177,444/388,908 = 388,908/x
  3. Step 3: Cross multiply
    177,444x = 388,908 × 388,908
  4. Step 4: Simplify right side
    177,444x = 151,249,432,464
  5. Step 5: Solve for x
    x = 151,249,432,464/177,444
  6. Step 6: Final answer
    x = 852,378.40

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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.