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Finding the Third Proportional to 93,538.50 and 142,644

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Solution

The third proportional to 93,538.50 and 142,644 is: 217,528.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,538.50 : 142,644 = 142,644 : x
  2. Step 2: Convert to fraction form
    93,538.50/142,644 = 142,644/x
  3. Step 3: Cross multiply
    93,538.50x = 142,644 × 142,644
  4. Step 4: Simplify right side
    93,538.50x = 20,347,310,736
  5. Step 5: Solve for x
    x = 20,347,310,736/93,538.50
  6. Step 6: Final answer
    x = 217,528.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.