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Finding the Third Proportional to 80,790 and 172,575

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Solution

The third proportional to 80,790 and 172,575 is: 368,636.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,790 : 172,575 = 172,575 : x
  2. Step 2: Convert to fraction form
    80,790/172,575 = 172,575/x
  3. Step 3: Cross multiply
    80,790x = 172,575 × 172,575
  4. Step 4: Simplify right side
    80,790x = 29,782,130,625
  5. Step 5: Solve for x
    x = 29,782,130,625/80,790
  6. Step 6: Final answer
    x = 368,636.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.