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Finding the Third Proportional to 5,384.81 and 8,316.84

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Solution

The third proportional to 5,384.81 and 8,316.84 is: 12,845.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.81 : 8,316.84 = 8,316.84 : x
  2. Step 2: Convert to fraction form
    5,384.81/8,316.84 = 8,316.84/x
  3. Step 3: Cross multiply
    5,384.81x = 8,316.84 × 8,316.84
  4. Step 4: Simplify right side
    5,384.81x = 69,169,889.96
  5. Step 5: Solve for x
    x = 69,169,889.96/5,384.81
  6. Step 6: Final answer
    x = 12,845.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.