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Finding the Third Proportional to 133,140 and 289,789.50

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Solution

The third proportional to 133,140 and 289,789.50 is: 630,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,140 : 289,789.50 = 289,789.50 : x
  2. Step 2: Convert to fraction form
    133,140/289,789.50 = 289,789.50/x
  3. Step 3: Cross multiply
    133,140x = 289,789.50 × 289,789.50
  4. Step 4: Simplify right side
    133,140x = 83,977,954,310.25
  5. Step 5: Solve for x
    x = 83,977,954,310.25/133,140
  6. Step 6: Final answer
    x = 630,749.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.