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Finding the Third Proportional to 73,856 and 161,536

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Solution

The third proportional to 73,856 and 161,536 is: 353,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,856 : 161,536 = 161,536 : x
  2. Step 2: Convert to fraction form
    73,856/161,536 = 161,536/x
  3. Step 3: Cross multiply
    73,856x = 161,536 × 161,536
  4. Step 4: Simplify right side
    73,856x = 26,093,879,296
  5. Step 5: Solve for x
    x = 26,093,879,296/73,856
  6. Step 6: Final answer
    x = 353,307.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.