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Finding the Third Proportional to 5,128.88 and 8,374.22

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Solution

The third proportional to 5,128.88 and 8,374.22 is: 13,673.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.88 : 8,374.22 = 8,374.22 : x
  2. Step 2: Convert to fraction form
    5,128.88/8,374.22 = 8,374.22/x
  3. Step 3: Cross multiply
    5,128.88x = 8,374.22 × 8,374.22
  4. Step 4: Simplify right side
    5,128.88x = 70,127,539.67
  5. Step 5: Solve for x
    x = 70,127,539.67/5,128.88
  6. Step 6: Final answer
    x = 13,673.08

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.