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Finding the Third Proportional to 4,920.75 and 12,579.05

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Solution

The third proportional to 4,920.75 and 12,579.05 is: 32,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.75 : 12,579.05 = 12,579.05 : x
  2. Step 2: Convert to fraction form
    4,920.75/12,579.05 = 12,579.05/x
  3. Step 3: Cross multiply
    4,920.75x = 12,579.05 × 12,579.05
  4. Step 4: Simplify right side
    4,920.75x = 158,232,420.28
  5. Step 5: Solve for x
    x = 158,232,420.28/4,920.75
  6. Step 6: Final answer
    x = 32,156.16

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.