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Finding the Third Proportional to 4,390.45 and 6,939.63

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Solution

The third proportional to 4,390.45 and 6,939.63 is: 10,968.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,390.45 : 6,939.63 = 6,939.63 : x
  2. Step 2: Convert to fraction form
    4,390.45/6,939.63 = 6,939.63/x
  3. Step 3: Cross multiply
    4,390.45x = 6,939.63 × 6,939.63
  4. Step 4: Simplify right side
    4,390.45x = 48,158,503.57
  5. Step 5: Solve for x
    x = 48,158,503.57/4,390.45
  6. Step 6: Final answer
    x = 10,968.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.