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Finding the Third Proportional to 147,161.25 and 307,644.75

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Solution

The third proportional to 147,161.25 and 307,644.75 is: 643,140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,161.25 : 307,644.75 = 307,644.75 : x
  2. Step 2: Convert to fraction form
    147,161.25/307,644.75 = 307,644.75/x
  3. Step 3: Cross multiply
    147,161.25x = 307,644.75 × 307,644.75
  4. Step 4: Simplify right side
    147,161.25x = 94,645,292,202.56
  5. Step 5: Solve for x
    x = 94,645,292,202.56/147,161.25
  6. Step 6: Final answer
    x = 643,140.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.