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Finding the Third Proportional to 93,448 and 141,144

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Solution

The third proportional to 93,448 and 141,144 is: 213,184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,448 : 141,144 = 141,144 : x
  2. Step 2: Convert to fraction form
    93,448/141,144 = 141,144/x
  3. Step 3: Cross multiply
    93,448x = 141,144 × 141,144
  4. Step 4: Simplify right side
    93,448x = 19,921,628,736
  5. Step 5: Solve for x
    x = 19,921,628,736/93,448
  6. Step 6: Final answer
    x = 213,184.11

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