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Finding the Third Proportional to 2,178.46 and 4,741.35

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Solution

The third proportional to 2,178.46 and 4,741.35 is: 10,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.46 : 4,741.35 = 4,741.35 : x
  2. Step 2: Convert to fraction form
    2,178.46/4,741.35 = 4,741.35/x
  3. Step 3: Cross multiply
    2,178.46x = 4,741.35 × 4,741.35
  4. Step 4: Simplify right side
    2,178.46x = 22,480,377.60
  5. Step 5: Solve for x
    x = 22,480,377.60/2,178.46
  6. Step 6: Final answer
    x = 10,319.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.