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Finding the Third Proportional to 75,487 and 159,964

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Solution

The third proportional to 75,487 and 159,964 is: 338,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,487 : 159,964 = 159,964 : x
  2. Step 2: Convert to fraction form
    75,487/159,964 = 159,964/x
  3. Step 3: Cross multiply
    75,487x = 159,964 × 159,964
  4. Step 4: Simplify right side
    75,487x = 25,588,481,296
  5. Step 5: Solve for x
    x = 25,588,481,296/75,487
  6. Step 6: Final answer
    x = 338,978.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.