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Finding the Third Proportional to 30,813 and 63,087

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Solution

The third proportional to 30,813 and 63,087 is: 129,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,813 : 63,087 = 63,087 : x
  2. Step 2: Convert to fraction form
    30,813/63,087 = 63,087/x
  3. Step 3: Cross multiply
    30,813x = 63,087 × 63,087
  4. Step 4: Simplify right side
    30,813x = 3,979,969,569
  5. Step 5: Solve for x
    x = 3,979,969,569/30,813
  6. Step 6: Final answer
    x = 129,165.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.