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Finding the Third Proportional to 4,789.76 and 7,415.30

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Solution

The third proportional to 4,789.76 and 7,415.30 is: 11,480.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.76 : 7,415.30 = 7,415.30 : x
  2. Step 2: Convert to fraction form
    4,789.76/7,415.30 = 7,415.30/x
  3. Step 3: Cross multiply
    4,789.76x = 7,415.30 × 7,415.30
  4. Step 4: Simplify right side
    4,789.76x = 54,986,627.74
  5. Step 5: Solve for x
    x = 54,986,627.74/4,789.76
  6. Step 6: Final answer
    x = 11,480.04

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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.