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Finding the Third Proportional to 3,123.75 and 6,598.22

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Solution

The third proportional to 3,123.75 and 6,598.22 is: 13,937.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.75 : 6,598.22 = 6,598.22 : x
  2. Step 2: Convert to fraction form
    3,123.75/6,598.22 = 6,598.22/x
  3. Step 3: Cross multiply
    3,123.75x = 6,598.22 × 6,598.22
  4. Step 4: Simplify right side
    3,123.75x = 43,536,490.67
  5. Step 5: Solve for x
    x = 43,536,490.67/3,123.75
  6. Step 6: Final answer
    x = 13,937.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.