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Finding the Third Proportional to 407,781 and 959,429

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Solution

The third proportional to 407,781 and 959,429 is: 2,257,348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,781 : 959,429 = 959,429 : x
  2. Step 2: Convert to fraction form
    407,781/959,429 = 959,429/x
  3. Step 3: Cross multiply
    407,781x = 959,429 × 959,429
  4. Step 4: Simplify right side
    407,781x = 920,504,006,041
  5. Step 5: Solve for x
    x = 920,504,006,041/407,781
  6. Step 6: Final answer
    x = 2,257,348.93

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.