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Finding the Third Proportional to 201,894 and 313,502

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Solution

The third proportional to 201,894 and 313,502 is: 486,807.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,894 : 313,502 = 313,502 : x
  2. Step 2: Convert to fraction form
    201,894/313,502 = 313,502/x
  3. Step 3: Cross multiply
    201,894x = 313,502 × 313,502
  4. Step 4: Simplify right side
    201,894x = 98,283,504,004
  5. Step 5: Solve for x
    x = 98,283,504,004/201,894
  6. Step 6: Final answer
    x = 486,807.45

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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.