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Finding the Third Proportional to 69,030 and 149,588.25

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Solution

The third proportional to 69,030 and 149,588.25 is: 324,158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,030 : 149,588.25 = 149,588.25 : x
  2. Step 2: Convert to fraction form
    69,030/149,588.25 = 149,588.25/x
  3. Step 3: Cross multiply
    69,030x = 149,588.25 × 149,588.25
  4. Step 4: Simplify right side
    69,030x = 22,376,644,538.06
  5. Step 5: Solve for x
    x = 22,376,644,538.06/69,030
  6. Step 6: Final answer
    x = 324,158.26

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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.