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Finding the Third Proportional to 77,889 and 116,702

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Solution

The third proportional to 77,889 and 116,702 is: 174,855.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,889 : 116,702 = 116,702 : x
  2. Step 2: Convert to fraction form
    77,889/116,702 = 116,702/x
  3. Step 3: Cross multiply
    77,889x = 116,702 × 116,702
  4. Step 4: Simplify right side
    77,889x = 13,619,356,804
  5. Step 5: Solve for x
    x = 13,619,356,804/77,889
  6. Step 6: Final answer
    x = 174,855.97

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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.