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Finding the Third Proportional to 182,979 and 385,641

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Solution

The third proportional to 182,979 and 385,641 is: 812,765.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,979 : 385,641 = 385,641 : x
  2. Step 2: Convert to fraction form
    182,979/385,641 = 385,641/x
  3. Step 3: Cross multiply
    182,979x = 385,641 × 385,641
  4. Step 4: Simplify right side
    182,979x = 148,718,980,881
  5. Step 5: Solve for x
    x = 148,718,980,881/182,979
  6. Step 6: Final answer
    x = 812,765.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.