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Finding the Third Proportional to 243,191 and 388,504

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Solution

The third proportional to 243,191 and 388,504 is: 620,645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,191 : 388,504 = 388,504 : x
  2. Step 2: Convert to fraction form
    243,191/388,504 = 388,504/x
  3. Step 3: Cross multiply
    243,191x = 388,504 × 388,504
  4. Step 4: Simplify right side
    243,191x = 150,935,358,016
  5. Step 5: Solve for x
    x = 150,935,358,016/243,191
  6. Step 6: Final answer
    x = 620,645.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.