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Finding the Third Proportional to 149,564.60 and 328,189.54

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Solution

The third proportional to 149,564.60 and 328,189.54 is: 720,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,564.60 : 328,189.54 = 328,189.54 : x
  2. Step 2: Convert to fraction form
    149,564.60/328,189.54 = 328,189.54/x
  3. Step 3: Cross multiply
    149,564.60x = 328,189.54 × 328,189.54
  4. Step 4: Simplify right side
    149,564.60x = 107,708,370,986.08
  5. Step 5: Solve for x
    x = 107,708,370,986.08/149,564.60
  6. Step 6: Final answer
    x = 720,146.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.