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Finding the Third Proportional to 64,168.88 and 132,428.25

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Solution

The third proportional to 64,168.88 and 132,428.25 is: 273,298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,168.88 : 132,428.25 = 132,428.25 : x
  2. Step 2: Convert to fraction form
    64,168.88/132,428.25 = 132,428.25/x
  3. Step 3: Cross multiply
    64,168.88x = 132,428.25 × 132,428.25
  4. Step 4: Simplify right side
    64,168.88x = 17,537,241,398.06
  5. Step 5: Solve for x
    x = 17,537,241,398.06/64,168.88
  6. Step 6: Final answer
    x = 273,298.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.