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Finding the Third Proportional to 196,785.70 and 420,927.47

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Solution

The third proportional to 196,785.70 and 420,927.47 is: 900,369.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,785.70 : 420,927.47 = 420,927.47 : x
  2. Step 2: Convert to fraction form
    196,785.70/420,927.47 = 420,927.47/x
  3. Step 3: Cross multiply
    196,785.70x = 420,927.47 × 420,927.47
  4. Step 4: Simplify right side
    196,785.70x = 177,179,933,948.28
  5. Step 5: Solve for x
    x = 177,179,933,948.28/196,785.70
  6. Step 6: Final answer
    x = 900,369.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.