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Finding the Third Proportional to 93,725 and 133,575.50

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Solution

The third proportional to 93,725 and 133,575.50 is: 190,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,725 : 133,575.50 = 133,575.50 : x
  2. Step 2: Convert to fraction form
    93,725/133,575.50 = 133,575.50/x
  3. Step 3: Cross multiply
    93,725x = 133,575.50 × 133,575.50
  4. Step 4: Simplify right side
    93,725x = 17,842,414,200.25
  5. Step 5: Solve for x
    x = 17,842,414,200.25/93,725
  6. Step 6: Final answer
    x = 190,369.85

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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.