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Finding the Third Proportional to 93,450 and 144,940.50

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Solution

The third proportional to 93,450 and 144,940.50 is: 224,802.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,450 : 144,940.50 = 144,940.50 : x
  2. Step 2: Convert to fraction form
    93,450/144,940.50 = 144,940.50/x
  3. Step 3: Cross multiply
    93,450x = 144,940.50 × 144,940.50
  4. Step 4: Simplify right side
    93,450x = 21,007,748,540.25
  5. Step 5: Solve for x
    x = 21,007,748,540.25/93,450
  6. Step 6: Final answer
    x = 224,802.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.