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Finding the Third Proportional to 206,807.50 and 455,516

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Solution

The third proportional to 206,807.50 and 455,516 is: 1,003,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,807.50 : 455,516 = 455,516 : x
  2. Step 2: Convert to fraction form
    206,807.50/455,516 = 455,516/x
  3. Step 3: Cross multiply
    206,807.50x = 455,516 × 455,516
  4. Step 4: Simplify right side
    206,807.50x = 207,494,826,256
  5. Step 5: Solve for x
    x = 207,494,826,256/206,807.50
  6. Step 6: Final answer
    x = 1,003,323.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.