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Finding the Third Proportional to 78,808 and 115,278

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Solution

The third proportional to 78,808 and 115,278 is: 168,625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,808 : 115,278 = 115,278 : x
  2. Step 2: Convert to fraction form
    78,808/115,278 = 115,278/x
  3. Step 3: Cross multiply
    78,808x = 115,278 × 115,278
  4. Step 4: Simplify right side
    78,808x = 13,289,017,284
  5. Step 5: Solve for x
    x = 13,289,017,284/78,808
  6. Step 6: Final answer
    x = 168,625.23

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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.