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Finding the Third Proportional to 285,656 and 434,092

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Solution

The third proportional to 285,656 and 434,092 is: 659,660.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,656 : 434,092 = 434,092 : x
  2. Step 2: Convert to fraction form
    285,656/434,092 = 434,092/x
  3. Step 3: Cross multiply
    285,656x = 434,092 × 434,092
  4. Step 4: Simplify right side
    285,656x = 188,435,864,464
  5. Step 5: Solve for x
    x = 188,435,864,464/285,656
  6. Step 6: Final answer
    x = 659,660.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.