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Finding the Third Proportional to 196,211.50 and 423,785

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Solution

The third proportional to 196,211.50 and 423,785 is: 915,306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,211.50 : 423,785 = 423,785 : x
  2. Step 2: Convert to fraction form
    196,211.50/423,785 = 423,785/x
  3. Step 3: Cross multiply
    196,211.50x = 423,785 × 423,785
  4. Step 4: Simplify right side
    196,211.50x = 179,593,726,225
  5. Step 5: Solve for x
    x = 179,593,726,225/196,211.50
  6. Step 6: Final answer
    x = 915,306.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.