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Finding the Third Proportional to 71,428 and 106,791.25

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Solution

The third proportional to 71,428 and 106,791.25 is: 159,662.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,428 : 106,791.25 = 106,791.25 : x
  2. Step 2: Convert to fraction form
    71,428/106,791.25 = 106,791.25/x
  3. Step 3: Cross multiply
    71,428x = 106,791.25 × 106,791.25
  4. Step 4: Simplify right side
    71,428x = 11,404,371,076.56
  5. Step 5: Solve for x
    x = 11,404,371,076.56/71,428
  6. Step 6: Final answer
    x = 159,662.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.