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Finding the Third Proportional to 77,641 and 172,777

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Solution

The third proportional to 77,641 and 172,777 is: 384,486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,641 : 172,777 = 172,777 : x
  2. Step 2: Convert to fraction form
    77,641/172,777 = 172,777/x
  3. Step 3: Cross multiply
    77,641x = 172,777 × 172,777
  4. Step 4: Simplify right side
    77,641x = 29,851,891,729
  5. Step 5: Solve for x
    x = 29,851,891,729/77,641
  6. Step 6: Final answer
    x = 384,486.18

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.