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Finding the Third Proportional to 80,574 and 172,808

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Solution

The third proportional to 80,574 and 172,808 is: 370,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,574 : 172,808 = 172,808 : x
  2. Step 2: Convert to fraction form
    80,574/172,808 = 172,808/x
  3. Step 3: Cross multiply
    80,574x = 172,808 × 172,808
  4. Step 4: Simplify right side
    80,574x = 29,862,604,864
  5. Step 5: Solve for x
    x = 29,862,604,864/80,574
  6. Step 6: Final answer
    x = 370,623.34

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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.