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Finding the Third Proportional to 69,534 and 149,546.81

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Solution

The third proportional to 69,534 and 149,546.81 is: 321,630.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,534 : 149,546.81 = 149,546.81 : x
  2. Step 2: Convert to fraction form
    69,534/149,546.81 = 149,546.81/x
  3. Step 3: Cross multiply
    69,534x = 149,546.81 × 149,546.81
  4. Step 4: Simplify right side
    69,534x = 22,364,249,128.91
  5. Step 5: Solve for x
    x = 22,364,249,128.91/69,534
  6. Step 6: Final answer
    x = 321,630.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.