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Finding the Third Proportional to 5,319.63 and 8,419.44

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Solution

The third proportional to 5,319.63 and 8,419.44 is: 13,325.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.63 : 8,419.44 = 8,419.44 : x
  2. Step 2: Convert to fraction form
    5,319.63/8,419.44 = 8,419.44/x
  3. Step 3: Cross multiply
    5,319.63x = 8,419.44 × 8,419.44
  4. Step 4: Simplify right side
    5,319.63x = 70,886,927.82
  5. Step 5: Solve for x
    x = 70,886,927.82/5,319.63
  6. Step 6: Final answer
    x = 13,325.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.