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Finding the Third Proportional to 201,848 and 313,436

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Solution

The third proportional to 201,848 and 313,436 is: 486,713.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,848 : 313,436 = 313,436 : x
  2. Step 2: Convert to fraction form
    201,848/313,436 = 313,436/x
  3. Step 3: Cross multiply
    201,848x = 313,436 × 313,436
  4. Step 4: Simplify right side
    201,848x = 98,242,126,096
  5. Step 5: Solve for x
    x = 98,242,126,096/201,848
  6. Step 6: Final answer
    x = 486,713.40

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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.