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Finding the Third Proportional to 196,431.33 and 428,845.64

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Solution

The third proportional to 196,431.33 and 428,845.64 is: 936,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,431.33 : 428,845.64 = 428,845.64 : x
  2. Step 2: Convert to fraction form
    196,431.33/428,845.64 = 428,845.64/x
  3. Step 3: Cross multiply
    196,431.33x = 428,845.64 × 428,845.64
  4. Step 4: Simplify right side
    196,431.33x = 183,908,583,483.07
  5. Step 5: Solve for x
    x = 183,908,583,483.07/196,431.33
  6. Step 6: Final answer
    x = 936,248.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.