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Finding the Third Proportional to 354,601.55 and 421,031.67

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Solution

The third proportional to 354,601.55 and 421,031.67 is: 499,906.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,601.55 : 421,031.67 = 421,031.67 : x
  2. Step 2: Convert to fraction form
    354,601.55/421,031.67 = 421,031.67/x
  3. Step 3: Cross multiply
    354,601.55x = 421,031.67 × 421,031.67
  4. Step 4: Simplify right side
    354,601.55x = 177,267,668,721.86
  5. Step 5: Solve for x
    x = 177,267,668,721.86/354,601.55
  6. Step 6: Final answer
    x = 499,906.64

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.