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Finding the Third Proportional to 3,010.78 and 4,633.59

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Solution

The third proportional to 3,010.78 and 4,633.59 is: 7,131.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.78 : 4,633.59 = 4,633.59 : x
  2. Step 2: Convert to fraction form
    3,010.78/4,633.59 = 4,633.59/x
  3. Step 3: Cross multiply
    3,010.78x = 4,633.59 × 4,633.59
  4. Step 4: Simplify right side
    3,010.78x = 21,470,191.04
  5. Step 5: Solve for x
    x = 21,470,191.04/3,010.78
  6. Step 6: Final answer
    x = 7,131.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.