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Finding the Third Proportional to 268,156 and 426,837

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Solution

The third proportional to 268,156 and 426,837 is: 679,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,156 : 426,837 = 426,837 : x
  2. Step 2: Convert to fraction form
    268,156/426,837 = 426,837/x
  3. Step 3: Cross multiply
    268,156x = 426,837 × 426,837
  4. Step 4: Simplify right side
    268,156x = 182,189,824,569
  5. Step 5: Solve for x
    x = 182,189,824,569/268,156
  6. Step 6: Final answer
    x = 679,417.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.