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Finding the Third Proportional to 78,690 and 118,332

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Solution

The third proportional to 78,690 and 118,332 is: 177,944.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,690 : 118,332 = 118,332 : x
  2. Step 2: Convert to fraction form
    78,690/118,332 = 118,332/x
  3. Step 3: Cross multiply
    78,690x = 118,332 × 118,332
  4. Step 4: Simplify right side
    78,690x = 14,002,462,224
  5. Step 5: Solve for x
    x = 14,002,462,224/78,690
  6. Step 6: Final answer
    x = 177,944.62

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