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Finding the Third Proportional to 80,565 and 172,798

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Solution

The third proportional to 80,565 and 172,798 is: 370,621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,565 : 172,798 = 172,798 : x
  2. Step 2: Convert to fraction form
    80,565/172,798 = 172,798/x
  3. Step 3: Cross multiply
    80,565x = 172,798 × 172,798
  4. Step 4: Simplify right side
    80,565x = 29,859,148,804
  5. Step 5: Solve for x
    x = 29,859,148,804/80,565
  6. Step 6: Final answer
    x = 370,621.84

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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.