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Finding the Third Proportional to 206,446.50 and 319,066.50

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Solution

The third proportional to 206,446.50 and 319,066.50 is: 493,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,446.50 : 319,066.50 = 319,066.50 : x
  2. Step 2: Convert to fraction form
    206,446.50/319,066.50 = 319,066.50/x
  3. Step 3: Cross multiply
    206,446.50x = 319,066.50 × 319,066.50
  4. Step 4: Simplify right side
    206,446.50x = 101,803,431,422.25
  5. Step 5: Solve for x
    x = 101,803,431,422.25/206,446.50
  6. Step 6: Final answer
    x = 493,122.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.