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Finding the Third Proportional to 132,333.75 and 312,346.13

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Solution

The third proportional to 132,333.75 and 312,346.13 is: 737,227.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,333.75 : 312,346.13 = 312,346.13 : x
  2. Step 2: Convert to fraction form
    132,333.75/312,346.13 = 312,346.13/x
  3. Step 3: Cross multiply
    132,333.75x = 312,346.13 × 312,346.13
  4. Step 4: Simplify right side
    132,333.75x = 97,560,101,802.52
  5. Step 5: Solve for x
    x = 97,560,101,802.52/132,333.75
  6. Step 6: Final answer
    x = 737,227.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.