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Finding the Third Proportional to 206,140.50 and 445,594.50

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Solution

The third proportional to 206,140.50 and 445,594.50 is: 963,199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,140.50 : 445,594.50 = 445,594.50 : x
  2. Step 2: Convert to fraction form
    206,140.50/445,594.50 = 445,594.50/x
  3. Step 3: Cross multiply
    206,140.50x = 445,594.50 × 445,594.50
  4. Step 4: Simplify right side
    206,140.50x = 198,554,458,430.25
  5. Step 5: Solve for x
    x = 198,554,458,430.25/206,140.50
  6. Step 6: Final answer
    x = 963,199.65

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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.