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Finding the Third Proportional to 78,458 and 116,163

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Solution

The third proportional to 78,458 and 116,163 is: 171,988.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,458 : 116,163 = 116,163 : x
  2. Step 2: Convert to fraction form
    78,458/116,163 = 116,163/x
  3. Step 3: Cross multiply
    78,458x = 116,163 × 116,163
  4. Step 4: Simplify right side
    78,458x = 13,493,842,569
  5. Step 5: Solve for x
    x = 13,493,842,569/78,458
  6. Step 6: Final answer
    x = 171,988.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.