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Finding the Third Proportional to 57,043 and 133,277.50

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Solution

The third proportional to 57,043 and 133,277.50 is: 311,394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,043 : 133,277.50 = 133,277.50 : x
  2. Step 2: Convert to fraction form
    57,043/133,277.50 = 133,277.50/x
  3. Step 3: Cross multiply
    57,043x = 133,277.50 × 133,277.50
  4. Step 4: Simplify right side
    57,043x = 17,762,892,006.25
  5. Step 5: Solve for x
    x = 17,762,892,006.25/57,043
  6. Step 6: Final answer
    x = 311,394.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.