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Finding the Third Proportional to 93,434.50 and 146,848

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Solution

The third proportional to 93,434.50 and 146,848 is: 230,796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,434.50 : 146,848 = 146,848 : x
  2. Step 2: Convert to fraction form
    93,434.50/146,848 = 146,848/x
  3. Step 3: Cross multiply
    93,434.50x = 146,848 × 146,848
  4. Step 4: Simplify right side
    93,434.50x = 21,564,335,104
  5. Step 5: Solve for x
    x = 21,564,335,104/93,434.50
  6. Step 6: Final answer
    x = 230,796.28

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.