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Finding the Third Proportional to 96,746.50 and 149,433

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Solution

The third proportional to 96,746.50 and 149,433 is: 230,811.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,746.50 : 149,433 = 149,433 : x
  2. Step 2: Convert to fraction form
    96,746.50/149,433 = 149,433/x
  3. Step 3: Cross multiply
    96,746.50x = 149,433 × 149,433
  4. Step 4: Simplify right side
    96,746.50x = 22,330,221,489
  5. Step 5: Solve for x
    x = 22,330,221,489/96,746.50
  6. Step 6: Final answer
    x = 230,811.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.