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Finding the Third Proportional to 4,551.19 and 8,029.13

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Solution

The third proportional to 4,551.19 and 8,029.13 is: 14,164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551.19 : 8,029.13 = 8,029.13 : x
  2. Step 2: Convert to fraction form
    4,551.19/8,029.13 = 8,029.13/x
  3. Step 3: Cross multiply
    4,551.19x = 8,029.13 × 8,029.13
  4. Step 4: Simplify right side
    4,551.19x = 64,466,848.27
  5. Step 5: Solve for x
    x = 64,466,848.27/4,551.19
  6. Step 6: Final answer
    x = 14,164.84

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.