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Finding the Third Proportional to 427,396.50 and 676,771.88

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Solution

The third proportional to 427,396.50 and 676,771.88 is: 1,071,651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,396.50 : 676,771.88 = 676,771.88 : x
  2. Step 2: Convert to fraction form
    427,396.50/676,771.88 = 676,771.88/x
  3. Step 3: Cross multiply
    427,396.50x = 676,771.88 × 676,771.88
  4. Step 4: Simplify right side
    427,396.50x = 458,020,170,791.02
  5. Step 5: Solve for x
    x = 458,020,170,791.02/427,396.50
  6. Step 6: Final answer
    x = 1,071,651.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.