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Finding the Third Proportional to 228,739.50 and 353,865.38

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Solution

The third proportional to 228,739.50 and 353,865.38 is: 547,438.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,739.50 : 353,865.38 = 353,865.38 : x
  2. Step 2: Convert to fraction form
    228,739.50/353,865.38 = 353,865.38/x
  3. Step 3: Cross multiply
    228,739.50x = 353,865.38 × 353,865.38
  4. Step 4: Simplify right side
    228,739.50x = 125,220,703,623.89
  5. Step 5: Solve for x
    x = 125,220,703,623.89/228,739.50
  6. Step 6: Final answer
    x = 547,438.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.