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Finding the Third Proportional to 3,642.19 and 6,476.06

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Solution

The third proportional to 3,642.19 and 6,476.06 is: 11,514.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.19 : 6,476.06 = 6,476.06 : x
  2. Step 2: Convert to fraction form
    3,642.19/6,476.06 = 6,476.06/x
  3. Step 3: Cross multiply
    3,642.19x = 6,476.06 × 6,476.06
  4. Step 4: Simplify right side
    3,642.19x = 41,939,385.50
  5. Step 5: Solve for x
    x = 41,939,385.50/3,642.19
  6. Step 6: Final answer
    x = 11,514.89

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.