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Finding the Third Proportional to 93,048 and 132,902.50

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Solution

The third proportional to 93,048 and 132,902.50 is: 189,827.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,048 : 132,902.50 = 132,902.50 : x
  2. Step 2: Convert to fraction form
    93,048/132,902.50 = 132,902.50/x
  3. Step 3: Cross multiply
    93,048x = 132,902.50 × 132,902.50
  4. Step 4: Simplify right side
    93,048x = 17,663,074,506.25
  5. Step 5: Solve for x
    x = 17,663,074,506.25/93,048
  6. Step 6: Final answer
    x = 189,827.56

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.