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Finding the Third Proportional to 285,708 and 614,413

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Solution

The third proportional to 285,708 and 614,413 is: 1,321,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,708 : 614,413 = 614,413 : x
  2. Step 2: Convert to fraction form
    285,708/614,413 = 614,413/x
  3. Step 3: Cross multiply
    285,708x = 614,413 × 614,413
  4. Step 4: Simplify right side
    285,708x = 377,503,334,569
  5. Step 5: Solve for x
    x = 377,503,334,569/285,708
  6. Step 6: Final answer
    x = 1,321,290.74

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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.