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Finding the Third Proportional to 84,729 and 180,717

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Solution

The third proportional to 84,729 and 180,717 is: 385,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,729 : 180,717 = 180,717 : x
  2. Step 2: Convert to fraction form
    84,729/180,717 = 180,717/x
  3. Step 3: Cross multiply
    84,729x = 180,717 × 180,717
  4. Step 4: Simplify right side
    84,729x = 32,658,634,089
  5. Step 5: Solve for x
    x = 32,658,634,089/84,729
  6. Step 6: Final answer
    x = 385,448.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.