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Finding the Third Proportional to 4,303.76 and 5,518.76

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Solution

The third proportional to 4,303.76 and 5,518.76 is: 7,076.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.76 : 5,518.76 = 5,518.76 : x
  2. Step 2: Convert to fraction form
    4,303.76/5,518.76 = 5,518.76/x
  3. Step 3: Cross multiply
    4,303.76x = 5,518.76 × 5,518.76
  4. Step 4: Simplify right side
    4,303.76x = 30,456,687.79
  5. Step 5: Solve for x
    x = 30,456,687.79/4,303.76
  6. Step 6: Final answer
    x = 7,076.77

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.