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Finding the Third Proportional to 77,890 and 116,706

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Solution

The third proportional to 77,890 and 116,706 is: 174,865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,890 : 116,706 = 116,706 : x
  2. Step 2: Convert to fraction form
    77,890/116,706 = 116,706/x
  3. Step 3: Cross multiply
    77,890x = 116,706 × 116,706
  4. Step 4: Simplify right side
    77,890x = 13,620,290,436
  5. Step 5: Solve for x
    x = 13,620,290,436/77,890
  6. Step 6: Final answer
    x = 174,865.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.