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Finding the Third Proportional to 6,490.50 and 12,004.88

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Solution

The third proportional to 6,490.50 and 12,004.88 is: 22,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.50 : 12,004.88 = 12,004.88 : x
  2. Step 2: Convert to fraction form
    6,490.50/12,004.88 = 12,004.88/x
  3. Step 3: Cross multiply
    6,490.50x = 12,004.88 × 12,004.88
  4. Step 4: Simplify right side
    6,490.50x = 144,117,023.77
  5. Step 5: Solve for x
    x = 144,117,023.77/6,490.50
  6. Step 6: Final answer
    x = 22,204.30

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.