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Finding the Third Proportional to 3,124.83 and 4,751.79

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Solution

The third proportional to 3,124.83 and 4,751.79 is: 7,225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.83 : 4,751.79 = 4,751.79 : x
  2. Step 2: Convert to fraction form
    3,124.83/4,751.79 = 4,751.79/x
  3. Step 3: Cross multiply
    3,124.83x = 4,751.79 × 4,751.79
  4. Step 4: Simplify right side
    3,124.83x = 22,579,499.29
  5. Step 5: Solve for x
    x = 22,579,499.29/3,124.83
  6. Step 6: Final answer
    x = 7,225.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.