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Finding the Third Proportional to 30,535.31 and 66,291.75

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Solution

The third proportional to 30,535.31 and 66,291.75 is: 143,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,535.31 : 66,291.75 = 66,291.75 : x
  2. Step 2: Convert to fraction form
    30,535.31/66,291.75 = 66,291.75/x
  3. Step 3: Cross multiply
    30,535.31x = 66,291.75 × 66,291.75
  4. Step 4: Simplify right side
    30,535.31x = 4,394,596,118.06
  5. Step 5: Solve for x
    x = 4,394,596,118.06/30,535.31
  6. Step 6: Final answer
    x = 143,918.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.