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Finding the Third Proportional to 77,856 and 161,248

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Solution

The third proportional to 77,856 and 161,248 is: 333,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,856 : 161,248 = 161,248 : x
  2. Step 2: Convert to fraction form
    77,856/161,248 = 161,248/x
  3. Step 3: Cross multiply
    77,856x = 161,248 × 161,248
  4. Step 4: Simplify right side
    77,856x = 26,000,917,504
  5. Step 5: Solve for x
    x = 26,000,917,504/77,856
  6. Step 6: Final answer
    x = 333,961.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.