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Finding the Third Proportional to 191,840 and 391,296

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Solution

The third proportional to 191,840 and 391,296 is: 798,126.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,840 : 391,296 = 391,296 : x
  2. Step 2: Convert to fraction form
    191,840/391,296 = 391,296/x
  3. Step 3: Cross multiply
    191,840x = 391,296 × 391,296
  4. Step 4: Simplify right side
    191,840x = 153,112,559,616
  5. Step 5: Solve for x
    x = 153,112,559,616/191,840
  6. Step 6: Final answer
    x = 798,126.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.