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Finding the Third Proportional to 191,138 and 303,658

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Solution

The third proportional to 191,138 and 303,658 is: 482,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,138 : 303,658 = 303,658 : x
  2. Step 2: Convert to fraction form
    191,138/303,658 = 303,658/x
  3. Step 3: Cross multiply
    191,138x = 303,658 × 303,658
  4. Step 4: Simplify right side
    191,138x = 92,208,180,964
  5. Step 5: Solve for x
    x = 92,208,180,964/191,138
  6. Step 6: Final answer
    x = 482,416.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.