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Finding the Third Proportional to 71,388 and 107,028

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Solution

The third proportional to 71,388 and 107,028 is: 160,461.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,388 : 107,028 = 107,028 : x
  2. Step 2: Convert to fraction form
    71,388/107,028 = 107,028/x
  3. Step 3: Cross multiply
    71,388x = 107,028 × 107,028
  4. Step 4: Simplify right side
    71,388x = 11,454,992,784
  5. Step 5: Solve for x
    x = 11,454,992,784/71,388
  6. Step 6: Final answer
    x = 160,461.04

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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.