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Finding the Third Proportional to 201,886 and 313,498

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Solution

The third proportional to 201,886 and 313,498 is: 486,814.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,886 : 313,498 = 313,498 : x
  2. Step 2: Convert to fraction form
    201,886/313,498 = 313,498/x
  3. Step 3: Cross multiply
    201,886x = 313,498 × 313,498
  4. Step 4: Simplify right side
    201,886x = 98,280,996,004
  5. Step 5: Solve for x
    x = 98,280,996,004/201,886
  6. Step 6: Final answer
    x = 486,814.32

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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.