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Finding the Third Proportional to 268,153 and 426,833

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Solution

The third proportional to 268,153 and 426,833 is: 679,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,153 : 426,833 = 426,833 : x
  2. Step 2: Convert to fraction form
    268,153/426,833 = 426,833/x
  3. Step 3: Cross multiply
    268,153x = 426,833 × 426,833
  4. Step 4: Simplify right side
    268,153x = 182,186,409,889
  5. Step 5: Solve for x
    x = 182,186,409,889/268,153
  6. Step 6: Final answer
    x = 679,412.16

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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.