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Finding the Third Proportional to 313,896 and 403,036

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Solution

The third proportional to 313,896 and 403,036 is: 517,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,896 : 403,036 = 403,036 : x
  2. Step 2: Convert to fraction form
    313,896/403,036 = 403,036/x
  3. Step 3: Cross multiply
    313,896x = 403,036 × 403,036
  4. Step 4: Simplify right side
    313,896x = 162,438,017,296
  5. Step 5: Solve for x
    x = 162,438,017,296/313,896
  6. Step 6: Final answer
    x = 517,489.92

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.