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Finding the Third Proportional to 3,117.38 and 6,821.63

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Solution

The third proportional to 3,117.38 and 6,821.63 is: 14,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.38 : 6,821.63 = 6,821.63 : x
  2. Step 2: Convert to fraction form
    3,117.38/6,821.63 = 6,821.63/x
  3. Step 3: Cross multiply
    3,117.38x = 6,821.63 × 6,821.63
  4. Step 4: Simplify right side
    3,117.38x = 46,534,567.64
  5. Step 5: Solve for x
    x = 46,534,567.64/3,117.38
  6. Step 6: Final answer
    x = 14,927.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.