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Finding the Third Proportional to 33,130.69 and 70,134.19

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Solution

The third proportional to 33,130.69 and 70,134.19 is: 148,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,130.69 : 70,134.19 = 70,134.19 : x
  2. Step 2: Convert to fraction form
    33,130.69/70,134.19 = 70,134.19/x
  3. Step 3: Cross multiply
    33,130.69x = 70,134.19 × 70,134.19
  4. Step 4: Simplify right side
    33,130.69x = 4,918,804,256.29
  5. Step 5: Solve for x
    x = 4,918,804,256.29/33,130.69
  6. Step 6: Final answer
    x = 148,466.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.