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Finding the Third Proportional to 77,120 and 116,653

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Solution

The third proportional to 77,120 and 116,653 is: 176,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,120 : 116,653 = 116,653 : x
  2. Step 2: Convert to fraction form
    77,120/116,653 = 116,653/x
  3. Step 3: Cross multiply
    77,120x = 116,653 × 116,653
  4. Step 4: Simplify right side
    77,120x = 13,607,922,409
  5. Step 5: Solve for x
    x = 13,607,922,409/77,120
  6. Step 6: Final answer
    x = 176,451.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.