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Finding the Third Proportional to 191,543 and 388,558

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Solution

The third proportional to 191,543 and 388,558 is: 788,216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,543 : 388,558 = 388,558 : x
  2. Step 2: Convert to fraction form
    191,543/388,558 = 388,558/x
  3. Step 3: Cross multiply
    191,543x = 388,558 × 388,558
  4. Step 4: Simplify right side
    191,543x = 150,977,319,364
  5. Step 5: Solve for x
    x = 150,977,319,364/191,543
  6. Step 6: Final answer
    x = 788,216.32

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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.