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Finding the Third Proportional to 206,819 and 455,539.50

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Solution

The third proportional to 206,819 and 455,539.50 is: 1,003,371.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,819 : 455,539.50 = 455,539.50 : x
  2. Step 2: Convert to fraction form
    206,819/455,539.50 = 455,539.50/x
  3. Step 3: Cross multiply
    206,819x = 455,539.50 × 455,539.50
  4. Step 4: Simplify right side
    206,819x = 207,516,236,060.25
  5. Step 5: Solve for x
    x = 207,516,236,060.25/206,819
  6. Step 6: Final answer
    x = 1,003,371.24

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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.