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Finding the Third Proportional to 201,864 and 313,460

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Solution

The third proportional to 201,864 and 313,460 is: 486,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,864 : 313,460 = 313,460 : x
  2. Step 2: Convert to fraction form
    201,864/313,460 = 313,460/x
  3. Step 3: Cross multiply
    201,864x = 313,460 × 313,460
  4. Step 4: Simplify right side
    201,864x = 98,257,171,600
  5. Step 5: Solve for x
    x = 98,257,171,600/201,864
  6. Step 6: Final answer
    x = 486,749.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.