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Finding the Third Proportional to 8,410.08 and 13,059.35

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Solution

The third proportional to 8,410.08 and 13,059.35 is: 20,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.08 : 13,059.35 = 13,059.35 : x
  2. Step 2: Convert to fraction form
    8,410.08/13,059.35 = 13,059.35/x
  3. Step 3: Cross multiply
    8,410.08x = 13,059.35 × 13,059.35
  4. Step 4: Simplify right side
    8,410.08x = 170,546,663.23
  5. Step 5: Solve for x
    x = 170,546,663.23/8,410.08
  6. Step 6: Final answer
    x = 20,278.84

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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.