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Finding the Third Proportional to 8,734.71 and 13,621.05

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Solution

The third proportional to 8,734.71 and 13,621.05 is: 21,240.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734.71 : 13,621.05 = 13,621.05 : x
  2. Step 2: Convert to fraction form
    8,734.71/13,621.05 = 13,621.05/x
  3. Step 3: Cross multiply
    8,734.71x = 13,621.05 × 13,621.05
  4. Step 4: Simplify right side
    8,734.71x = 185,533,050.99
  5. Step 5: Solve for x
    x = 185,533,050.99/8,734.71
  6. Step 6: Final answer
    x = 21,240.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.