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Finding the Third Proportional to 3,048.47 and 6,490.97

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Solution

The third proportional to 3,048.47 and 6,490.97 is: 13,820.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.47 : 6,490.97 = 6,490.97 : x
  2. Step 2: Convert to fraction form
    3,048.47/6,490.97 = 6,490.97/x
  3. Step 3: Cross multiply
    3,048.47x = 6,490.97 × 6,490.97
  4. Step 4: Simplify right side
    3,048.47x = 42,132,675.31
  5. Step 5: Solve for x
    x = 42,132,675.31/3,048.47
  6. Step 6: Final answer
    x = 13,820.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.