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Finding the Third Proportional to 77,352 and 163,856

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Solution

The third proportional to 77,352 and 163,856 is: 347,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,352 : 163,856 = 163,856 : x
  2. Step 2: Convert to fraction form
    77,352/163,856 = 163,856/x
  3. Step 3: Cross multiply
    77,352x = 163,856 × 163,856
  4. Step 4: Simplify right side
    77,352x = 26,848,788,736
  5. Step 5: Solve for x
    x = 26,848,788,736/77,352
  6. Step 6: Final answer
    x = 347,098.83

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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.