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Finding the Third Proportional to 4,148.09 and 6,421.46

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Solution

The third proportional to 4,148.09 and 6,421.46 is: 9,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.09 : 6,421.46 = 6,421.46 : x
  2. Step 2: Convert to fraction form
    4,148.09/6,421.46 = 6,421.46/x
  3. Step 3: Cross multiply
    4,148.09x = 6,421.46 × 6,421.46
  4. Step 4: Simplify right side
    4,148.09x = 41,235,210.74
  5. Step 5: Solve for x
    x = 41,235,210.74/4,148.09
  6. Step 6: Final answer
    x = 9,940.78

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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.