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Finding the Third Proportional to 78,838 and 115,322

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Solution

The third proportional to 78,838 and 115,322 is: 168,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,838 : 115,322 = 115,322 : x
  2. Step 2: Convert to fraction form
    78,838/115,322 = 115,322/x
  3. Step 3: Cross multiply
    78,838x = 115,322 × 115,322
  4. Step 4: Simplify right side
    78,838x = 13,299,163,684
  5. Step 5: Solve for x
    x = 13,299,163,684/78,838
  6. Step 6: Final answer
    x = 168,689.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.