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Finding the Third Proportional to 135,428.25 and 291,669

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Solution

The third proportional to 135,428.25 and 291,669 is: 628,161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,428.25 : 291,669 = 291,669 : x
  2. Step 2: Convert to fraction form
    135,428.25/291,669 = 291,669/x
  3. Step 3: Cross multiply
    135,428.25x = 291,669 × 291,669
  4. Step 4: Simplify right side
    135,428.25x = 85,070,805,561
  5. Step 5: Solve for x
    x = 85,070,805,561/135,428.25
  6. Step 6: Final answer
    x = 628,161.45

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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.