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Finding the Third Proportional to 140,332.50 and 219,889.69

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Solution

The third proportional to 140,332.50 and 219,889.69 is: 344,549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,332.50 : 219,889.69 = 219,889.69 : x
  2. Step 2: Convert to fraction form
    140,332.50/219,889.69 = 219,889.69/x
  3. Step 3: Cross multiply
    140,332.50x = 219,889.69 × 219,889.69
  4. Step 4: Simplify right side
    140,332.50x = 48,351,474,668.85
  5. Step 5: Solve for x
    x = 48,351,474,668.85/140,332.50
  6. Step 6: Final answer
    x = 344,549.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.