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Finding the Third Proportional to 71,455 and 159,825

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Solution

The third proportional to 71,455 and 159,825 is: 357,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,455 : 159,825 = 159,825 : x
  2. Step 2: Convert to fraction form
    71,455/159,825 = 159,825/x
  3. Step 3: Cross multiply
    71,455x = 159,825 × 159,825
  4. Step 4: Simplify right side
    71,455x = 25,544,030,625
  5. Step 5: Solve for x
    x = 25,544,030,625/71,455
  6. Step 6: Final answer
    x = 357,484.16

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.