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Finding the Third Proportional to 191,520 and 388,512

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Solution

The third proportional to 191,520 and 388,512 is: 788,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,520 : 388,512 = 388,512 : x
  2. Step 2: Convert to fraction form
    191,520/388,512 = 388,512/x
  3. Step 3: Cross multiply
    191,520x = 388,512 × 388,512
  4. Step 4: Simplify right side
    191,520x = 150,941,574,144
  5. Step 5: Solve for x
    x = 150,941,574,144/191,520
  6. Step 6: Final answer
    x = 788,124.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.