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Finding the Third Proportional to 285,706 and 614,409

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Solution

The third proportional to 285,706 and 614,409 is: 1,321,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,706 : 614,409 = 614,409 : x
  2. Step 2: Convert to fraction form
    285,706/614,409 = 614,409/x
  3. Step 3: Cross multiply
    285,706x = 614,409 × 614,409
  4. Step 4: Simplify right side
    285,706x = 377,498,419,281
  5. Step 5: Solve for x
    x = 377,498,419,281/285,706
  6. Step 6: Final answer
    x = 1,321,282.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.