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Finding the Third Proportional to 196,438.50 and 428,860.13

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Solution

The third proportional to 196,438.50 and 428,860.13 is: 936,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,438.50 : 428,860.13 = 428,860.13 : x
  2. Step 2: Convert to fraction form
    196,438.50/428,860.13 = 428,860.13/x
  3. Step 3: Cross multiply
    196,438.50x = 428,860.13 × 428,860.13
  4. Step 4: Simplify right side
    196,438.50x = 183,921,006,815.02
  5. Step 5: Solve for x
    x = 183,921,006,815.02/196,438.50
  6. Step 6: Final answer
    x = 936,277.80

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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.