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Finding the Third Proportional to 201,866 and 313,459

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Solution

The third proportional to 201,866 and 313,459 is: 486,741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,866 : 313,459 = 313,459 : x
  2. Step 2: Convert to fraction form
    201,866/313,459 = 313,459/x
  3. Step 3: Cross multiply
    201,866x = 313,459 × 313,459
  4. Step 4: Simplify right side
    201,866x = 98,256,544,681
  5. Step 5: Solve for x
    x = 98,256,544,681/201,866
  6. Step 6: Final answer
    x = 486,741.43

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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.